Question

need help asap will give a medal

Jorge's rectangular garden was 17 feet long and had a perimeter of 54 feet. He made his garden 5 feet longer.

What is the area of his new garden?

A.
22 square feet

B.
64 square feet

C.
85 square feet

D.
220 square feet

Answer 1

Area = l * w, Perimeter = l+l+w+w or 2l+2w.
Since you know the garden is a rectangle then you know two of the side lengths are 17.
If you plug this into the perimeter formula, along with the given perimeter you get 54=2(17)+2(w).
Then if you solve for w you will get the other side lengths of the rectangle. You can use that length and the 17+5 to find area of the new rectangle.

Answer 2

So
54=2(17)+2(w)
54=34+2(w)
54-34=2(w)
20=2(w)
divide both sides by 2 to get
10=w.

Lets check to see if this is right:
Does 54= 2(17)+2(10)?
yes it does!

So we know the length of the first rectangle is 17 and the width is 10.
Then we have to add on 5 ft to the length so 17+5=22.

22 is the length of the new rectangle/garden. We still have 10 as the width. So to find the area of the new garden we just use the area formula A=l*w
A=22*10
Area=220
SO the answer is D. 220 square feet

Answer 3

@StudyGurl14

Answer 4

@iGreen need help is it d

Answer 5

I believe so, yes. @Runner123456789 seems to have done a really good job showing you the steps. :)