Question

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

Explanation:

Step1: Find total height of the figure

The total height of the shaded and unshaded rectangles together is \(2 + 2 = 4\).

Step2: Find total length of the big rectangle

The total length of the big rectangle (if we consider the combined length of the two parts) is \(4 + 7 = 11\).

Step3: Calculate area of the big rectangle

The area of the big rectangle (length \(\times\) height) is \(11\times4 = 44\).

Step4: Calculate area of the unshaded rectangle

The unshaded rectangle has length \(7\) and height \(2\), so its area is \(7\times2 = 14\).

Step5: Subtract unshaded area from big area

The area of the shaded region is the area of the big rectangle minus the area of the unshaded rectangle: \(44 - 14 = 30\).

Answer:

30