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Mekhanik [1.2K]
3 years ago
7

The length of a rectangle is 2 yd longer than its width. if the perimeter of the rectangle is 24 yd , find its area.

Mathematics
1 answer:
lara31 [8.8K]3 years ago
8 0
Width = x
Length = x +2
Perimeter = 24
Area = Width • Length = ?

Perimeter = 24 = 2(x +2) + 2(x)
= 2x + 4 + 2x
= 4x + 4
= 20 = 4x
= 5 = x

Width = x = 5, therefore Length = (5) + 2 = 7

Area = Width • Length = 5 • 7 = 35

Area = 35 yards
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