the perimeter of the rectangle garden used 86 feet of barbed wire. The length of the garden is 7 feet more than its width. Find the dimensions of the garden
Answers
Given : Perimeter of the rectangle garden = 86 feet.
The length of the garden is 7 feet more than its width.
To find: Dimensions of the garden.
Solution:
Let the width of the garden be b.
The length of the garden , l = b + 7
We know that perimeter of rectangle, P = 2(l + b)
86 = 2(b + 7 + b)
86 = 2(2b + 7)
86 = 4b + 14
86 - 14 = 4b
72 = 4b
b = 72/4
b = 18 feet
Width of the garden = 18 feet
Length of the garden , l = b + 7
l = 18 + 7
l = 18 + 7
l = 25 feet
Hence , the length of the garden is 25 feet and the width of the garden is 18 feet.
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एक आयताकार पार्क का परिमाप 150 मीटर है। यदि इसकी लंबाई 45 मीटर हो तो चौड़ाई कितनी होगी?
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A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area?
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Perimeter = 2 * (L+W)
86 feet / 4 sides = 21.5 feet per side. L of garden is 7ft more than the width.
7ft / 2 sides = 3.5ft per 2 sides. W = 21.5ft - 3.5ft = 18ft.
L = 21.5ft + 3.5ft = 25ft. Difference is 25ft - 18ft = 7ft.
Check: P = 2 * (25ft + 18ft) = 2 * 43ft = 86ft.
Answer. The dimensions are, 25 ft length and 18ft width.