Question

What is the area of the rectangle? Round to the nearest square inch.



A.
27 in2

B.
31 in2

C.
45 in2

D.
47 in2
http://static.k12.com/calms_media/media/1579000_1579500/1579373/2/4ac8cba629d8de89098f07b616577fd1aa6b2747/MS_IMC-150126-130912.jpg

Answer 1

Use the Pythagorean Theorem to find the Length of the rectangle.

Answer 2

\(\sf a^2 + b^2 = c^2\)

'a' and 'b' are the two legs, in this case the length and the width, and 'c' is the hypotenuse, in this case the diagonal of the rectangle.

Answer 3

so its \[5^2+b^2=8^2\] ??

Answer 4

Yep, you got it.

Answer 5

Now solve for 'b'

Answer 6

how do i solve for b again?

Answer 7

Then after you find 'b', multiply it to 5 to get the Area.

Answer 8

\(\sf 5^2 + b^2 = 8^2\)

Subtract 5^2 to both sides:

\(\sf b^2 = 8^2-5^2\)

Find the square root of both sides:

\(\sf b = \sqrt{8^2-5^2}\)

Answer 9

Simplify

Answer 10

i got \[b=\sqrt{39}\]

Answer 11

Yep, now find the square root of 39

Answer 12

6.24

Answer 13

Yep, now multiply it to 5.

Answer 14

31.2 or 31

Answer 15

Yep, that's our answer.