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

The length of the garden is 87 feet

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=(2)/(3)x` ----> equation B

solve the system by substitution

substitute equation B in equation A and solve for x

`145=x+(2)/(3)x\\\\145=(5)/(3)x\\\\x=145(3)/5\\\\x=87\ ft`

therefore

The length of the garden is 87 feet