Question

PLZ I NEED HELP ASAP!!! (plz show your work I need to see how it is done)

In rectangle PQRS, ST = TQ = 12.5 in. What is the area of rectangle PQRS?
a. 128cm^2
b. 86cm^2
c. 168cm^2
d. 142cm^2

Answer 1

Answer: the answer is 168cm^2 it is correct

Step-by-step explanation:

:)

Answer 2

Answer: Choice C

168 square cm

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Step-by-step explanation:

Segment SQ is the result of adding the pieces ST and TQ together

SQ = ST + TQ

SQ = 12.5 + 12.5

SQ = 25

This is the hypotenuse of the right triangle PQS. The diagram shows that the vertical leg of this right triangle is PS = 7.

Use the pythagorean theorem to find the horizontal leg PQ.

a^2 + b^2 = c^2

7^2 + b^2 = 25^2

49 + b^2 = 625

b^2 = 625 - 49

b^2 = 576

b = sqrt(576)

b = 24

Side PQ is 24 inches long.

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We then multiply the length and width of the rectangle to find its area.

area = length*width

area = PS*PQ

area = 7*24

area = 168 square cm