Question

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

Explanation:

Step1: Recall the property of congruent rectangles

Congruent rectangles have equal areas.

Step2: Find the dimensions of rectangle \(ABCD\)

In rectangle \(ABCD\), length \(AB = 3\space mm\) and in rectangle \(URST\), length \(UR= 8\space mm\). Since they are congruent, the area formula for a rectangle is \(A = l\times w\).

Step3: Calculate the area

\(A=3\times8 = 24\space mm^{2}\)

Answer:

\(24\space mm^{2}\) (the first option)