Question

finding area using congruent rectangles
rectangle abcd is congruent to rectangle hgjk.
what is the area of rectangle abcd?
18 in.
square inches
11 in.

Explanation:

Step1: Use the property of congruent rectangles

Since rectangle \(ABCD\) is congruent to rectangle \(HGJK\), their corresponding sides are equal. So, the length of \(AD = HJ=18\) inches and \(AB = 11\) inches.

Step2: Apply the formula for the area of a rectangle

The area formula of a rectangle is \(A=\text{length}\times\text{width}\). For rectangle \(ABCD\), \(A = AB\times AD\). Substitute \(AB = 11\) inches and \(AD=18\) inches into the formula: \(A=11\times18\).
Calculate \(11\times18=(10 + 1)\times18=10\times18+1\times18=180 + 18=198\).

Answer:

\(198\)