Question

The Johnsons are designing a rectangle driveway the driveway has an area of 980 ft.² the width of the driveway is for fifth its length what is the length and

Answer 1

The length of the driveway is 35 feet and the width is 28 feet

Explanation:

The correct question is

The Johnsons are designing a rectangle driveway the driveway has an area of 980 ft.² the width of the driveway is four-fifth its length what is the length and the width of the driveway

Let

x ----> the length of the driveway in feet

y ----> the width of the driveway in feet

we know that

The area of the rectangular driveway is

`A=xy`

`A=980\ ft^2`

so

`980=xy` ----> equation A

`y=(4)/(5)x` ----> equation B

substitute equation B in equation A

`980=x((4)/(5)x)`

solve for x

`x^2=980(5)/4\\x^2=1,225\\x=35\ ft`

Find the value of y

substitute the value of x in equation B

`y=(4)/(5)(35)=28\ ft`

therefore

The length of the driveway is 35 feet and the width is 28 feet