Question

1. for each picture, name the shape and calculate the area.

a)
b)
c)

Explanation:

Step1: Identify the shape and formula

For part a), the shape is a circle. The formula for the area of a circle is \(A = \pi r^{2}\), where \(r\) is the radius. Given \(r = 44\space mm\).

$$A=\pi\times(44)^{2}$$

$$A = \pi\times1936$$

$$A\approx3.14\times1936 = 6079.04\space mm^{2}$$

Step2: Identify the shape and formula

For part b), the shape is a triangle. The formula for the area of a triangle is \(A=\frac{1}{2}bh\), where \(b\) is the base and \(h\) is the height. Here \(b = 9.3\space m\) and \(h=5.7\space m\)

$$A=\frac{1}{2}\times9.3\times5.7$$

$$A = 4.65\times5.7$$

$$A=26.505\space m^{2}$$

Step3: Identify the shape and formula

For part c), the shape is a parallelogram. The formula for the area of a parallelogram is \(A = bh\), where \(b\) is the base and \(h\) is the height. Here \(b = 14.8\space cm\) and \(h = 5.3\space cm\)

$$A=14.8\times5.3$$

$$A = 78.44\space cm^{2}$$

Answer:

a) Shape: Circle, Area: \(6079.04\space mm^{2}\)
b) Shape: Triangle, Area: \(26.505\space m^{2}\)
c) Shape: Parallelogram, Area: \(78.44\space cm^{2}\)