Half the perimeter of a rectangular garden, whose length is 4 more than its width.
is 36 m. find the dimensions of the garden
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Answer:16m and 20m
Step-by-step explanation:
Given that, half of the perimeter of the rectangle = 36
∴perimeter of the rectangle = 36 × 2 = 72 m
Let the width/breadth of the rectangle be x
so, its length = x +4
We know that in a rectangle perimeter = 2(l + b)
ie , 72 = 2( x + 4+ x)
ie, 72 = 2( 2x + 4)
ie, 72/2 = 2x + 4
ie, 36 = 2x + 4
ie, 2x = 36 - 4 = 32
or, x = 32/2 = 16
∴breadth/width = x = 16 m & length = x + 4 = 16 + 4 = 20 m
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