Answer:
See Explanation
Step-by-step explanation:
8. (1)
Area of trapezoid = 1/2(sum of || sides) *perpendicular distance
36 =1/2(x+ y) * 6
36 = ((x + y)*3
36/3 = x + y
12 = x + y
x + y = 12.... (1)
8(2)
It is given that:
x = 2y....(2)
From equations (1) & (2)
2y + y = 12
3y = 12
y = 12/3
y = 4
From equation (2)
x = 2y = 2*4
x = 8
9.
Area of square = 1 square m
Side of square = 1 m
Area of circle = 1 square m
[tex]\pi {r}^{2} = 1 \\ {r}^{2} = \frac{1}{\pi} \\ r = \frac{1}{ \sqrt{\pi} } \\ c = 2\pi \: r \\ c = 2\pi \times \frac{1}{ \sqrt{\pi} } \\ c = 2 \sqrt{\pi} \\ c = 2 \sqrt{3.14} \\ c = 2 \times 1.77200451 \\ c = 3.54400902 \\ c = 3.544 \\ difference = 3.544 - 1 = 2.544 \\difference \approx \: 2.54[/tex]
