Question

3.
8
4
15 cm
9 cm
7 cm
18 cm
4.
1360 in²
10
19
20×0.5
35 in.
50 in.
30 in.
45×30
45 in.
1350+1
= 1360
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Explanation:

Step1: Calculate area of rectangle (Fig3)

$\text{Area}_\text{rect} = 18 \times 7 = 126 \, \text{cm}^2$

Step2: Find base of triangle (Fig3)

$\text{Base} = 18 - 9 = 9 \, \text{cm}$

Step3: Find height of triangle (Fig3)

$\text{Height} = 15 - 7 = 8 \, \text{cm}$

Step4: Calculate area of triangle (Fig3)

$\text{Area}_\text{tri} = \frac{1}{2} \times 9 \times 8 = 36 \, \text{cm}^2$

Step5: Total area of Figure 3

$\text{Total}_3 = 126 + 36 = 162 \, \text{cm}^2$

Step6: Calculate area of rectangle (Fig4)

$\text{Area}_\text{rect} = 45 \times 30 = 1350 \, \text{in}^2$

Step7: Find base of small triangle (Fig4)

$\text{Base} = 45 - 35 = 10 \, \text{in}$

Step8: Find height of small triangle (Fig4)

$\text{Height} = 50 - 30 = 20 \, \text{in}$

Step9: Calculate area of small triangle (Fig4)

$\text{Area}_\text{tri} = \frac{1}{2} \times 10 \times 20 = 100 \, \text{in}^2$

Step10: Total area of Figure 4

$\text{Total}_4 = 1350 + 100 = 1450 \, \text{in}^2$

Answer:

Area of Figure 3: $\boldsymbol{162 \, \text{cm}^2}$
Area of Figure 4: $\boldsymbol{1450 \, \text{in}^2}$