Question

Can someone help me with this question please

Answer 1

First problem: 2sqrt(5)

Second problem: 20 ft

Explanation:

First problem:

The geometric mean, x, of a and b is

a/x = x/b

Here you have 4 and 5, so the geometric mean, x, of 4 and 5 is

4/x = x/5

Cross multiply.

x^2 = 4 * 5

x = sqrt(4 * 5)

x = 2sqrt(5)

Second problem:

Ratio of lengths of sides is

1 : 2 : 5

Add all numbers, 1 + 2 + 5 = 8

The ratio of the longest side to the perimeter is

5 : 8

Let the longest side have length x.

5/8 = x/32

8x = 5 * 32

8x = 160

x = 20

Answer: 20 ft

Answer 2

20

Explanation:

1,2,5 have the same ratio as 4,8,20 and add up to 32