Question

Help to solve this word problem?

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