Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m. Find the dimensions of the garden.
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The dimensions of the garden=
Length = 20m
Width = 16m
Total perimeter of the garden = 72m
Step-by-step explanation:
Half the perimeter of rectangular garden = 36m
Total perimeter of garden = 36+36 = 72m
Let the length of the garden = x
Width of the garden = x+4 [ since length is 4m more than its width]
Perimeter of the rectangular garden
: 2(L+B) = 72m
= 2(x+4+x) =72m
= 2(2x+4) =72m
= 4x+8 = 72m
= 4x = 72-8
= 4x = 64
= x = 64÷ 4
= x = 16m
Width = x
= 16m
Length = x+4
= 16+4
= 20m
The dimensions of the rectangular garden is 16m and 20m
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