Question

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

Explanation:

Step1: Recall congruent - rectangle property

Congruent rectangles have equal side - lengths and equal areas.

Step2: Identify rectangle sides

In rectangle \(ABCD\), assume \(AB = 9\mathrm{mm}\) and in rectangle \(URST\), assume \(RS=15\mathrm{mm}\). Since they are congruent, the length and width of rectangle \(URST\) are \(9\mathrm{mm}\) and \(15\mathrm{mm}\).

Step3: Apply area formula

The area formula for a rectangle is \(A = l\times w\), where \(l\) is the length and \(w\) is the width. For rectangle \(URST\), \(A=9\times15\).
\[A = 135\mathrm{mm}^2\]

Answer:

\(135\mathrm{mm}^2\)