What is the area of rectangle URST?
24 mm
48 mm
135 mm2
144 mm2

135 mm²

Explanation:

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?

Two rectangles are said to be congruent if the size of their sides are equal. If Rectangles A B C D and U R S T are congruent, this means that AB = UR, BC = RS, CD = ST and AD = UR

Given that:

AB = 9 millimeters and the length of sides RS = 15 millimeters.  

Area of rectangle URST = length × breadth =  UR × RS

but since ABCD and URST are congruent, UR = AB. Therefore:

Area of rectangle URST = length × breadth =  AB × RS = 9 mm × 15 mm = 135 mm²