Question

Answer question 8,9 and 10 with full details.

Answer 1

See Explanation

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

`\pi {r}^(2) = 1 \\ {r}^(2) = (1)/(\pi) \\ r = (1)/( √(\pi) ) \\ c = 2\pi \: r \\ c = 2\pi * (1)/( √(\pi) ) \\ c = 2 √(\pi) \\ c = 2 √(3.14) \\ c = 2 * 1.77200451 \\ c = 3.54400902 \\ c = 3.544 \\ difference = 3.544 - 1 = 2.544 \\difference \approx \: 2.54`