Question

Help on both problems

Answer 1

114 cm^2; x = 6: it is not possible because the lengths of the sides when solved are not the right size. x - 1 is bigger than 2x - 4 in the picture but in reality it is not. it doesnt make sense

Explanation:

for the first one the area of a trapezoid is
`(1)/(2) h(b_(1) +b_(2))`

so

first find the height of the triangle

8^2 + h^2 = 10^2

64 + h^2 = 100

h^2 = 36

h = 6

so

the height is 6

now plug it in

`(1)/(2) * 6 (25 + 13)`

`(1)/(2) * 6(38)`

114 cm is the first answer

for the second one you can add all of them together and set them equal to 27

x - 1 + 2x - 4 + 3x - 4 = 27

6x - 9 = 27

6x = 36

x = 6

that is the second answer

it is not possible because the lengths of the sides when solved are not the right size. x - 1 is bigger than 2x - 4 in the picture but in reality it is not. it doesnt make sense