Question

The figure is made up of a square and a rectangle. Find the area of the shaded region.

Answer 1

Answer:

40 square metres

Step-by-step explanation:

The shaded region is of a triangle, whose area is denoted by: A = (1/2) * b * h, where b is the base and h is the height.

Since the left figure is a square with side lengths 10, we know that the height of the triangle is also 10 metres. The right figure is a rectangle with length 4. Since the total base length of the entire figure is 18 and the base of the square is 10, then the width of the rectangle is 18 - 10 = 8 metres.

This width is also the base of the triangle, so b = 8.

Now plug these values into the equation:

A = (1/2) * b * h

A = (1/2) * 8 * 10 = (1/2) * 80 = 40

The area is 40 square metres.

Answer 2

Answer:

40 m²

Step-by-step explanation:

Area of any triangle:

½ × base × height

base = 18 - 10 = 8

height = 10

Area:

½ × 8 × 10

40 m²