Question

rectangle congruence
rectangle abcd is congruent to rectangle uhrt
what is the area of rectangle uhrt?
135 mm²
24 mm
144 mm²
48 mm
(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 \(ABCD\), \(AB = 9\mathrm{mm}\). Let's assume the other side (width) is equal to the side of rectangle \(URBT\) which is \(16\mathrm{mm}\) (by the property of congruence, corresponding sides are equal).

Step3: Calculate the area of rectangle \(ABCD\) (which is equal to the area of \(URBT\))

The area formula for a rectangle is \(A=\text{length}\times\text{width}\). So \(A = 9\times16\).

$$
LATEXBLOCK0
$$

Answer:

\(144\mathrm{mm}^2\)