Question

14. The perimeter of a rectangle is 62. The area of the same rectangle is 234. Which of the following equations could be used to find the dimensions of the rectangle?

A. w(31 – w) = 234

B. w(62 – w) = 234

C. w(31 + w) = 234

D. w(62 + w) = 234

Answer 1

Please help!

Answer 2

how do you find perimeter of a rectangle?

Answer 3

P=2(l+w)

Answer 4

And how do you find the area or a rectangle?

Answer 5

A=lw

Answer 6

So for this particular problem, we could write: 2l+2w=62 and lw = 234. Would you agree?

Answer 7

Yes

Answer 8

But then, looking at the answer choices, I see that they must be looking for an expression for the area because they are all equal to 234 which is the area. Do you agree?

Answer 9

Yes, I agree

Answer 10

And furthermore, I see that the length has been eliminated somehow because the only variable in the area statement is w. So I need a replacement for the "l" in A=lw. And the only place I have to obtain such a replacement is from the perimeter equation.

Answer 11

Does this still make sense?

Answer 12

Yes, yes it does

Answer 13

So it looks like we had better take our perimeter equation: 2l+2w = 62 and solve it for l and put that value in the area equation: lw = 234 in place of l and see what we get.

Answer 14

Ok then. thank you

Answer 15

yw

Answer 16

Would the right answer be B? @Mertsj

Answer 17

no. When you divide by 2, make sure you divide EVERY term by 2

Answer 18

Is A the correct answer?

Answer 19

yes

Answer 20

Thank you so much!!!:)

Answer 21

yw