Question

An architect designed the rectangular flower garden such that the width is exactly 2/3 of the length if 290 feet of antique pig fencing or to used enclose the garden find the dimensions of the garden what is the length of the garden

Answer 1

Answer:

The length of the garden is 87 feet

Step-by-step explanation:

Let

x ----> the length of the rectangular garden

y ----> the width of the rectangular garden

we know that

The perimeter of rectangle is equal to

$P=2(x+y)$

we have that

The perimeter must be equal to 290 feet

so

$290=2(x+y)$

$145=(x+y)$ ----> equation A

The width is exactly 2/3 of the length

$y=\frac{2}{3}x$ ----> equation B

solve the system by substitution

substitute equation B in equation A and solve for x

$145=x+\frac{2}{3}x\\\\145=\frac{5}{3}x\\\\x=145(3)/5\\\\x=87\ ft$

therefore

The length of the garden is 87 feet