Question

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Answer 1

Answer:

• Equation = $2(\frac{7}{4}w + w) = 176$

• length = 56 ft

• width = 32 ft

Step-by-step explanation:

The ratio of the length to width is 7:4.

∴ $\frac{l}{w} = \frac{7}{4}$

⇒ $l = \frac{7}{4} w$                 [Equation 1]

We know that the perimeter of the garden is 176 feet.

∴ $2(l + w) = 176$

⇒ $2(\frac{7}{4}w + w) = 176$

⇒ $\frac{7}{4} w + w = 88$        [From Equation 1]

⇒ $\frac{7 w + 4w}{4} = 88$

⇒ $\frac{11w}{4} = 88$

⇒ $11w = 352$

⇒ $w = \bf 32 \space\ ft$

We know from Equation 1 that:

$l = \frac{7}{4} w$

∴ $l = \frac{7}{4} (32)$

⇒ $l = \bf 56 \space\ ft$