Question

what is the area of the rectangle? round to the nearest square inch?

Answer 1

find the bottom length of the triangle

Answer 2

what grade and class?

Answer 3

given that the area of a rectangle = length * width.

also the triangle formed with that diagonal is a right triangle

Answer 4

okay sso i would do x^2 x 5^2??

Answer 5

Do you see that the diagonal separates the rectangle into two identical right triangles?

Answer 6

yes

Answer 7

The diagonal of 8 inches is the hypotenuse of the triangle whose one leg is 5 in.

Answer 8

the other leg is the one you need to find in order to calculate the area of the rectangle.

Answer 9

okay how would i find it?

Answer 10

Use the pythagorean theorem where the hypotenuse squared is equal to the sum of the legs squared.

Answer 11

\[8^{2}=5^{2}+x ^{2}\]

Answer 12

8^2 is 64 so i have to find 5^2 + x^2= and make it equal 64?

Answer 13

Yes, use algebra to solve \[64 = 25 + x ^{2}\]

Answer 14

i tink its either 6^2 or 7^2

Answer 15

think

Answer 16

You know the drill, no different than the many similar problems that you have been solving al day

Answer 17

\[x ^{2}=64-25\]

Answer 18

39*39 right?

Answer 19

or square root of 39?

Answer 20

Just a plain ole 39 that is what x squared is, but you need to find x....yes, that's the ticket.

Answer 21

6.24

Answer 22

yaaa ur the best

Answer 23

Now you still need to find the area of the rectangle so multiply the two sides.\[A = 5 \sqrt{39}\]

Answer 24

31.2?

Answer 25

Don't forget to round off to the nearest square inch. Good night and good luck, the day has ended for me. yes.

Answer 26

thank you :)))))))))))))))))