Question

Help to solve this word problem?

the width of a rectangle is 7 feet less than its length. if the area of the rectangle is 170 square feet, then find the length and width.

Answer 1

Let's assume

length =l

width =w

we are given

the width of a rectangle is 7 feet less than its length

so, we get

`w=l-7`

now, we know that

area = length*width

`A=l*w`

now, we can plug w

`A=l*(l-7)`

we have

Area=170

`170=l*(l-7)`

`l^2-7l-170=0`

now, we can factor it

`(l-17)(l+10)=0`

now, we can solve for l

`(l-17)=0`

`length=17 feet`

now, we can find width

`w=17-7`

`width=10 feet`

so, dimensions are

`length=17 feet`

`width=10 feet`...............Answer