Question

The perimeter of a rectangular pool is 414 meters. The length is 7 meters more than 4 times the width find the length and width

Answer 1

The length of rectangular pool is 167 meters and the width is 40 meters

Explanation:

Let

x ----> the length of rectangular pool

y ----> the width of rectangular pool

we know that

The perimeter of rectangle (rectangular pool) is equal to

`P=2(x+y)`

we have

`P=414\ m`

so

`414=2(x+y)`

simplify

`207=x+y` ----> equation A

`x=4y+7` ----> equation B

solve the system by substitution

substitute equation B in equation A

`207=4y+7+y`

solve for y

`207-7=4y+y`

`200=5y`

`y=40\ m`

Find the value of x

`x=4y+7`

`x=4(40)+7=167\ m`

therefore

The length of rectangular pool is 167 meters and the width is 40 meters