Question

This figure is a composite shape! It's made up of three rectangles and one triangle, all put together to form one larger, irregular shape. The measurements are given in centimeters (cm), which is a unit of length.Here's a breakdown of the components based on the solution provided:Rectangle 1: It has dimensions of 5 cm by 9 cm.Rectangle 2: This rectangle has a longer base of 18 cm (which is the sum of 13 cm + 5 cm) and a height of 4 cm.Rectangle 3: This rectangle has dimensions of 4 cm by 7 cm.Triangle 4: This triangle has a base of 14 cm and a height that is calculated as 16 cm (which is 5 cm + 13 cm + 7 cm - 9 cm).When you add up the areas of all these pieces, you get the total area of the entire figure! ✨

Answer 1

Let's add the areas of the four pieces.

- Rectangle 1: 5 × 9 = 45 cm²
- Rectangle 2: 18 × 4 = 72 cm²
- Rectangle 3: 4 × 7 = 28 cm²
- Triangle 4: (1/2) × 14 × 16 = 112 cm² (height: 5 + 13 + 7 − 9 = 16)

Total area = 45 + 72 + 28 + 112 = 257 cm².