Question

A right triangle is removed from a rectangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer.

Answer 1

To find the area of the shaded region, calculate the area of the rectangle and subtract the area of the right triangle.

Step-by-step explanation:

To find the area of the shaded region, we can calculate the area of the rectangle and subtract the area of the right triangle.

The formula for the area of a rectangle is length x width. Let's say the length of the rectangle is L and the width is W. So, the area of the rectangle is A = L x W.

The formula for the area of a right triangle is 1/2 x base x height. Let's say the base of the triangle is B and the height is H. So, the area of the triangle is A = 1/2 x B x H.

To find the area of the shaded region, we can subtract the area of the triangle from the area of the rectangle. Shaded Area = A(rectangle) - A(triangle).

Answer 2

29m²

Step-by-step explanation:

This shape contains 2 shapes that we are familiar with, a triangle and a square. We need to know how to work out the area of a triangle and a rectangle so

→ Area of a rectangle = Length × Width

→ Area of a triangle = 0.5 × Base × Height

In this question we are asked to find the area of shaded region so the first step would be to work out the area of rectangle. Then work out the area of the triangle. Finally minus the 2 answers from each other.

→ First step would be to work out the area of rectangle

Area of a rectangle = Length × Width

Area of a rectangle = 7 × 5 = 35m²

→ Then work out the area of the triangle.

Area of a triangle = 0.5 × Base × Height

Area of a triangle = 0.5 × 4 × 3

Area of a triangle = 6m²

→ Finally minus the 2 answers from each other

35m² - 6m² = 29m²

The area of the shaded region is 29m²