Question

1. find the area and perimeter of the shape.

(the triangle has sides 4 cm, 5 cm, 3.2 cm and a height of 2.8 cm corresponding to the side of length 4 cm)
area = ____ cm²
perimeter = ____ cm

Explanation:

Step1: Calculate area of shape 6

Area of parallelogram: $\text{base} \times \text{height}$
$\text{Area} = 4 \times 3 = 12$

Step2: Calculate perimeter of shape 6

Sum all side lengths: $2\times(4 + 3.6)$
$\text{Perimeter} = 2\times7.6 = 15.2$

Step3: Calculate area of shape 7

Area of triangle: $\frac{1}{2} \times \text{base} \times \text{height}$
$\text{Area} = \frac{1}{2} \times 5 \times 2.8 = 7$

Step4: Calculate perimeter of shape 7

Sum all side lengths: $4 + 5 + 3.2$
$\text{Perimeter} = 12.2$

Answer:

For shape 6:

Area = $12$ cm²
Perimeter = $15.2$ cm

For shape 7:

Area = $7$ cm²
Perimeter = $12.2$ cm