The length of a rectangular pool is 4 meters less than twice the width. If the pool's perimeter is 64 meters, what is the width?

this is best solved using algebra

let the width be 4x (since it is 4 times more the length)

let the length be x

the formula for perimeter is (l+b)2 let us sub these variables in our formula

(x + 4x)2 = 64

expand brackets

2x + 8x = 64

combine like terms

10x = 64

make x the subject

x = 64/10 = 6.4

the length is 6.4 m

now let's find the width, the width is 4 times more the length so we simply substitute our value we found for x in 4x

we get:

4(6.4) = 25.6

the length is 25.6m

let's check our answers to see if its correct

25.6 + 6.4 = 32

32 × 2 = 64

the answer is correct

add an !

step-by-step explanation:

just sum

10 + 10 = 20