Question

A need help. show work step by step please ......

1)In a trapezoid with a height of 5 meters, one of the bases is three times the lenght of the other base. solve for the lenghts of the two bases if A=70m^2.

2)In a trapezoid with a height of 10 feet, one base is 4 feet longer than the other base. solve for the lenghts of the two bases if A=120ft^2​

Answer 1

Answer: 1) 8.75 m , 26.25 m

2) 4ft, 8ft

Explanation:

1) First, you can find lenght of bases.

70 / 2 = 35

So you can set x for shorter base and 3x for longer base.

x + 3x = 35

4x = 35

x = 8.75

3x = 26.25

2) You can solve same as 1.

120 / 10 = 12

set x and x+4

x + (x + 4) = 12

2x + 4 = 12

2x = 8

x = 4

(x + 4) = 8