Question

find the area of each polygon.
1.
2.
3.
4.

Explanation:

Step1: Area of rectangle

The formula for the area of a rectangle is \(A = l\times w\). Here, \(l = 9m\) and \(w = 3m\). So, \(A_1=9\times3\).

Step2: Area of square

The formula for the area of a square is \(A = s^2\). Here, \(s = 8m\). So, \(A_2=8\times8\).

Step3: Area of triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times b\times h\). Here, \(b = 7m\) and \(h = 6m\). So, \(A_3=\frac{1}{2}\times7\times6\).

Step4: Area of trapezoid

The formula for the area of a trapezoid is \(A=\frac{1}{2}(a + b)h\). Here, \(a = 15m\), \(b = 7m\) and \(h = 10m\). So, \(A_4=\frac{1}{2}(15 + 7)\times10\).

Now calculate each:

• \(A_1=9\times3 = 27m^{2}\)
• \(A_2=8\times8=64m^{2}\)
• \(A_3=\frac{1}{2}\times7\times6=21m^{2}\)
• \(A_4=\frac{1}{2}(15 + 7)\times10=\frac{1}{2}\times22\times10 = 110m^{2}\)

Answer:

1. \(27m^{2}\)
2. \(64m^{2}\)
3. \(21m^{2}\)
4. \(110m^{2}\)