Question

rectangle abcd is congruent to rectangle urst. what is the area of rectangle urst? 24 mm 48 mm 135 mm² 144 mm² figure may not be drawn to scale

Explanation:

Step1: Use the property of congruent rectangles

Congruent rectangles have equal corresponding side lengths. So, the length and width of rectangle \(ABCD\) are equal to those of rectangle \(URST\). From the figure, one side of rectangle \(ABCD\) is \(9\) mm and one side of rectangle \(URST\) is \(15\) mm.

Step2: Apply the area formula for rectangles

The area formula for a rectangle is \(A = l\times w\). Here, \(l = 15\) mm and \(w=9\) mm. Then \(A=15\times9\).

$$A = 135\space mm^{2}$$

Answer:

\(135\space mm^{2}\) (the third option)