Question

An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 350 feet
of antique picket fencing are to be used to enclose the garden, find the dimensions of the garden.

Answer 1

Answer:

Length l= 105 feet

Breadth b= $\frac{2 \times 105}{3}=70$  feet

Step-by-step explanation:

Let the length l of the field be x

Hence the breadth b of the field is $\frac{2x}{3}$

Given that the perimeter P is 350 feet

Perimeter is given as P=2(l+b)

$350=2(x+\frac{2x}{3})$

$350=2(\frac{3x+2x}{3})$

$350=2(\frac{5x}{3})$

$350 \times 3=2 \times 5x$

$350 \times 3=10x$

$x=\frac{350 \times 3}{10}$

$x=35 \times 3$

$x=105$

Hence Length l= 105 feet

Breadth b= $\frac{2 \times 105}{3}=70$  feet