Question

given the two rectangles below. find the area of the shaded region.

Explanation:

Step1: Find the length and width of the large rectangle

The length of the large rectangle is \(5 + 5=10\), and the width is \(4 + 3 = 7\). The area of the large rectangle is \(length\times width=10\times7 = 70\).

Step2: Find the area of the unshaded (white) rectangle

The length of the white rectangle is \(5\) and the width is \(3\), so its area is \(5\times3=15\).

Step3: Calculate the area of the shaded region

Subtract the area of the white rectangle from the area of the large rectangle: \(70-15 = 55\).

Answer:

The area of the shaded region is \(\boldsymbol{55}\).