Question #e6d41

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Answer 1 · 2017-02-25T04:49:32

Width: $W = 7 ft$

Length: $L = 9 ft$

Perimeter is defined as:

$P = 2L + 2W$

Given: $P = 32ft$

Given: #L = W + 2

Substitute for $P$ and $L$ in the equation.

$32 = 2(W + 2) + 2W$

$32 = 2W + 4 + 2W$

$32 = 4W + 4$

Subtract 4 from both sides:

$28 = 4W$ divide both sides by 4.

$7 = W$ or $W = 7$

From above: $L= W + 2$

$L = 7 + 2$

$L = 9$

Check using the perimeter equation:

$32 = 2 xx 9 + 2 xx 7$
$32 = 18 + 14 = 32$