{"id":27082,"date":"2021-06-29T13:17:47","date_gmt":"2021-06-29T07:47:47","guid":{"rendered":"https:\/\/mcq-questions.com\/?p=27082"},"modified":"2022-03-02T10:47:24","modified_gmt":"2022-03-02T05:17:24","slug":"ncert-solutions-for-class-7-maths-chapter-11-ex-11-1","status":"publish","type":"post","link":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-7-maths-chapter-11-ex-11-1\/","title":{"rendered":"NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.1"},"content":{"rendered":"

These NCERT Solutions for Class 7 Maths<\/a> Chapter 11 Perimeter and Area Ex 11.1 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Exercise 11.1<\/h2>\n

Question 1.
\nThe length and the breadth of a rectangular piece of land are 500 m and 300 m respectively. Find
\n(i) its area
\n(ii) the cost of the land, if 1 m2 of the land costs \u20b9 10,000.
\nAnswer:
\n(i) Length of the rectangular piece
\n(1) = 500 m
\nBreadth of the rectangular piece
\n(b) = 300 m
\nArea = 1 \u00d7 b sq. unit
\n= 500 \u00d7 300 m2<\/sup>
\n= 150000m2<\/sup><\/p>\n

(ii) Cost of the land = \u20b9 150000 \u00d7 10, 000
\n= \u20b9 1,50,00,00,000<\/p>\n

\"NCERT<\/p>\n

Question 2.
\nFind the area of a square park whose perimeter is 320 m.
\nAnswer:
\nPerimeter of the square park = 320 m
\n4 \u00d7 side = 320
\nside = \\(\\frac{320}{4}\\) = 80 m
\nArea of the square park = side \u00d7 side = 80 \u00d7 80 m2<\/sup>
\n= 6400 m2<\/sup><\/p>\n

Question 3.
\nFind the breadth of a rectangular plot of land, if its area is 440 m2<\/sup> and the length is 22 m. Also find its perimeter.
\nAnswer:
\nLength of the rectangular plot = 22 m
\nArea of the rectangular plot = 440 m2<\/sup>
\n1 \u00d7 b = 440
\n22 \u00d7 b = 440
\nb = \\(\\frac{440}{22}\\) = 20m
\nBreadth of the rectangle = 20 m
\nPerimeter of the rectangular plot = 2 (l + b)
\n= 2(22 + 20) m
\n= 2 \u00d7 42 = 84 m
\n\u2234 Perimeter of the rectangular plot is 84 m.<\/p>\n

\"NCERT<\/p>\n

Question 4.
\nThe perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find its breadth. Also, find the area.
\nAns: Length of the rectangular sheet (1) = 35
\nPerimeter of the rectangular sheet = 100 cm
\n2(1 + b) = 100
\n2(35+ b) = 100
\n70 + 2b = 100
\n2b = 100 – 70
\n2b = 30 , 30
\nb = \\(\\frac { 30 }{ 2 }\\) = 15 cm
\nArea of the rectangular sheet
\n= 1 \u00d7 b sq. units
\n= 35 \u00d7 15 cm2<\/sup>
\n= 525 cm2<\/sup>
\nThus,
\n(i) Breadth of the rectangular sheet = 15 cm
\n(ii) Area of the rectangular sheet = 525 cm2<\/sup><\/p>\n

Question 5.
\nThe area of a square park is the same as of a rectangular park. If the side of the square park is 60 m and the length of the rectangular park is 90 m, find the breadth of the rectangular park.
\nAnswer:
\nSide of the square park = 60 m
\nArea of the square park = 60 \u00d7 60 m2<\/sup>
\n= 3600 m2<\/sup>
\nLength of the rectangular park = 90 m
\nArea of the rectangular Park
\n= Area of the square park = 3600 m2<\/sup>
\n1 \u00d7 b = 3600
\n90 \u00d7 b = 3600
\nb = \\(\\frac { 3600 }{ 90 }\\)
\n= 40 m
\n\u2234 Breadth of the rectangular park = 40 m.<\/p>\n

\"NCERT<\/p>\n

Question 6.
\nA wire is in the shape of a rectangle. Its length is 40 cm and breadth is 22 cm. If the same wire is rebent in the shape of a square, what will be the measure of each side. Also, find which shape encloses more area?
\n\"NCERT
\nAnswer:
\nLength of the wire
\n(l) = 40 cm
\nBreadth of the wire
\n(b) = 22 cm<\/p>\n

Area of the rectangle = 1 \u00d7 b
\n= 40 \u00d7 22 cm2<\/sup>
\n= 880 cm2<\/sup><\/p>\n

Perimeter of the rectangular wire = 2(1 + b)
\n= 2(40 + 22)cm
\n= 124 cm.<\/p>\n

Perimeter of the square = Perimeter of the rectangle
\n4 \u00d7 side = 124
\nside = \\(\\frac{124}{4}\\) = 31 cm
\nSide of a square =31 cm
\nArea of the square = 31 \u00d7 31 cm2<\/sup>
\n= 961 cm2<\/sup>
\n961 cm2<\/sup> > 880 cm2<\/sup>
\nArea of the square is more than the area of rectangle.<\/p>\n

Question 7.
\nThe perimeter of a rectangle is 130 cm. If the breadth of the rectangle is 30 cm, find its length. Also, find the area of the rectangle.
\nAnswer:
\nBreadth of the rectangle (b) = 30 cm
\nPerimeter of a rectangle =130 cm
\n2 (l + b) = 130 cm
\n2(l + 30) = 130
\n2l + 60 = 130
\n2l = 130 – 60
\n2l = 70
\nl = \\(\\frac{70}{2}\\) = 35cm
\nLength of the rectangle = 35 cm
\nArea of the rectangle = l \u00d7 b sq units = 35 \u00d7 30 cm2<\/sup>
\n= 1050 cm2<\/sup>
\n\u2234 Area of the rectangle<\/p>\n

\"NCERT<\/p>\n

Question 8.
\nA door of length 2 m and breadth 1 m is fitted in a wall. The length of the wall is 4.5 m and the breadth is 3.6 m. Find the cost of white washing the wall, if the rate of white washing the wall is \u20b9 20 per m2<\/sup>.
\n\"NCERT
\nAnswer:
\nLength of the wall (l) = 4.5 m
\nBreadth of the wall (b) = 3.6 m
\n\u2234 Area of the wall = l \u00d7 b sq. units
\n= 4.5 \u00d7 3.6 m2<\/sup>
\n= \\(\\frac{45}{10} \\times \\frac{36}{10}\\) m2<\/sup>
\n= \\(\\frac{1620}{100}\\) m2<\/sup>
\n= 16.2 m2<\/sup>
\nArea of the door = 2 m \u00d7 1 m
\n(l = 2 m, b = 1 m) = 2 m2<\/sup>
\nArea to be white washed =
\nArea of the wall – Area of the door
\n= 16.2 m2<\/sup> – 2 m2<\/sup>
\n= 14.2 m2<\/sup>
\nRate of white washing per m2<\/sup> = \u20b9 20
\n\u2234 Cost of while washing = \u20b9 20 \u00d7 14.2
\n= \u20b9 284<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.1 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Exercise 11.1 Question 1. The length and the breadth of a rectangular piece of land are 500 m and …<\/p>\n

NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.1<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"default","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","spay_email":""},"categories":[9],"tags":[],"yoast_head":"\nNCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.1 - MCQ Questions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-7-maths-chapter-11-ex-11-1\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.1 - MCQ Questions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.1 Questions and Answers are prepared by our highly skilled subject experts. 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