Answer:
See explanation
Explanation:
Required
The surface area of each shape
Triangle
[tex]Area = \frac{1}{2}bh[/tex]
[tex]b\to base; h \to height[/tex]
So:
[tex]Area = \frac{1}{2} * 23 * 21[/tex]
[tex]Area = 241.5m^2[/tex]
Square
[tex]Area = l^2[/tex]
[tex]l \to length[/tex]
So:
[tex]Area = 10^2[/tex]
[tex]Area = 100m^2[/tex]
Rhombus
[tex]Area =a^2\sin(\theta)[/tex]
[tex]a \to side\ length[/tex]
[tex]\theta \to any\ interior\ angle[/tex] (not given)
So:
[tex]Area =18^2\sin(\theta)[/tex]
[tex]Area =324\sin(\theta)[/tex]
Trapezium
[tex]Area = \frac{1}{2}(a + b)*h[/tex]
[tex]a,b \to parallel\ sides; h \to height[/tex]
So:
[tex]Area = \frac{1}{2}(18 + 23)*21[/tex]
[tex]Area = \frac{1}{2}*41*21[/tex]
[tex]Area = 430.5m^2[/tex]
Circle
[tex]Area = \frac{\pi d^2}{4}[/tex]
[tex]d \to diameter[/tex]
So:
[tex]Area = \frac{3.14 * 5^2}{4}[/tex]
[tex]Area = \frac{3.14 * 25}{4}[/tex]
[tex]Area = \frac{78.5}{4}[/tex]
[tex]Area = 19.625m^2[/tex]
