Question

find the area of the composite shape
10cm
7cm
10cm
5cm

Answer 1

To find the area of the composite shape, we first need to split it into two separate shapes: a rectangle and a triangle.

The rectangle has a length of 10 cm and a width of 7 cm. The area of a rectangle is calculated by multiplying the length by the width:

Area = Length x Width
Area = 10 cm x 7 cm
Area = 70 cm²

Next, we can calculate the area of the triangle. Since the triangle has a base of 10 cm and a height of 5 cm, the area of a triangle is calculated by multiplying the base by the height and dividing by 2:

Area = (Base x Height) / 2
Area = (10 cm x 5 cm) / 2
Area = 50 cm² / 2
Area = 25 cm²

To find the total area of the composite shape, add the area of the rectangle and the area of the triangle:

Total Area = Area of Rectangle + Area of Triangle
Total Area = 70 cm² + 25 cm²
Total Area = 95 cm²

Therefore, the total area of the composite shape is 95 cm².