Rectangle ABCD is congruent to rectangle URST.

Rectangles A B C D and U R S T are congruent. The length of sides A B is 9 millimeters and the length of sides R S is 15 millimeters.

What is the area of rectangle URST?

24 mm

48 mm

135 mm2

144 mm2

the answer is C

The area of rectangle URST is 135 mm² ⇒ 3rd answer

Step-by-step explanation:

- Congruent rectangles have same lengths of sides, same measures

of angles and same areas and same perimeters

- Rectangle ABCD is congruent to rectangle URST

- The length of sides A B is 9 millimeters and the length of sides R S is

15 millimeters

- We need to find the area of rectangle URST

∵ Rectangle ABCD ≅ rectangle URST

∴ AB = UR, BC = RS, CD = ST, AD = UT

∵ AB = 9 millimeters

∴ UR = 9 millimeters

- The area of any rectangle = l * w, where l, w are its dimensions

- In rectangle URST

∵ UR = 9 millimeters

∵ RS = 15 millimeters

- Assume that UR = l and RS = w

∴ The area of rectangle URST = UR * RS

∴ The area of rectangle URST = 9 * 15 = 135 millimeters²

* The area of rectangle URST is 135 mm²