Question

A new lawn has a perimeter of 278 ft. and a width of 64 ft. A bag of grass seed will cover 384 ft 2of ground. How many bags of grass seed are needed to seed the new lawn? A. 4.34 B. 6 C. 10.25 D. 12.5

Answer 1

12.5 bags

Explanation:

This problem is on the mensuration of flat shapes

Given

perimeter of lawn = 278 ft

width of lawn = 64 ft

1. we need to solve for the length of the lawn

2. we also we need to solve for the area of the lawn

perimeter of lawn= 2(width) + 2(length)

substituting our data we have

let the length be x

`= 278= 2(64) + 2(x)\\\=278= 128+2x\\\=278-128= 2x\\\=150=2x\\\\\x=(150)/(2) \\\x= 75ft`

the length is 75 ft

the area of the lawn is
`75*64= 4800ft^2`

if a bag will cover
`384ft^2`

to cover the lawn we will need

`(4800)/(384) \\=12.5 bags`