Question

1. Find the area of each figure to the nearest tenth.

Answer 1

Answer with step-by-step explanation:

We are given two figure for which we have to find their areas.

To make it easier, we will break down these figure into recognizable shapes and then find the total area.

Figure 1:

Area of rectangle = 110 x 140 = 15400 cm^2

Area of triangle = 0.5 x (180 - 110) x 90 = 3150 cm^2

Area of figure 1 = 15400 + 3150 = 18550 cm^2

Figure 2:

Area of square = 8 x 8 = 64 cm^2

To find the area of triangle, we need to find the length of the base using the Pythagoras Theorem:

$10^2=x^2+8^2$

$\sqrt{x^2} =\sqrt{36}$

$x=6$

Area of triangle = 0.5 x 6 x 8 = 24 cm^2

Area of figure 2 = 64 + 24 = 88 cm^2