Question

Find the value of X
(Please help)

Answer 1

Answer: 19 inches

Explanation:

The shape is a trapezium. (You can tell as there is one pair of parallel sides.) Therefore, to find the area, the following formula is needed:

Area of a trapezium =
`(a + b)/(2) * h`

a and b represent the parallel sides

Next, plug in the given values:

`154 = (x + 25)/(2) * 7`

Rearrange the equation to get x on its own:

`154 = (x+25)/(2) * 7\\\\(154)/(7) = (x+25)/(2) \\\\22 = (x+25)/(2) \\\\22*2 = x + 25\\\\44 = x + 25\\\\44-25 = x\\\\x = 19\\\\`

Therefore, the answer is 19 inches. Remember your units!

Answer 2

Answer: x = 19

Explanation:

Let's start with what we know. The area of a trapezoid is:

(B1 + x) * H /2 = Area

So here we have:

(25 + x)* 7 /2 = 154.

We multiply by 2 on both sides:
(25 + x)*7 = 308

Divide by 7 on both sides:
25 + x = 44

Subtract 25 from both sides:
x = 19.

So x = 19.