Math, asked by enright2111, 11 months ago

The length of a rectangular garden is 7 feet longer than its width. If the garden's perimeter is 182 feet, what is the area of the garden in square feet?

Answers

Answered by priyanshu463590
2
let the width of Rectangle be y

so length will be y+7

2(L+B)=182

(2y+7)=91

2y=84

y=42 feet

x=42+7=49 feet

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Answered by barnadutta2015
0

Answer: The area of rectangular field is 918 ft.²

Step-by-step explanation:

Let the width of rectangular garden be x

the length of rectangular garden= x + 7

Perimeter of rectangular garden field = 2( l + b )

                                                               = 2 ( x + x + 7 )

Given perimeter of rectangular garden field = 182 ft.

Therefore,
⇒  2 ( x + x + 7 ) = 182
⇒ 2x + 7 = 61
⇒ 2x = 61 -7 = 54
⇒ 2x = 54
⇒ x = 54/2 = 27

the width of rectangular garden = 27 ft.

the length of rectangular garden= 27 + 7 = 34 ft.
Area of rectangular garden = length x width = 27 x 34 = 918 ft.²

Hence, area of rectangular field is 918 ft.²

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