Question

What is the value of X​

Answer 1

Option D is correct answer.

Explanation:

For the area of Trapezoid we apply The formula

`(1)/(2)` sum of parallel sides X distance between them

Here in the question we have area = 98 square units

parallel sides are 20 units and 8 units ,Plugging them in the above formula

Let d be the distance between them

98=
`(1)/(2)` [ 8+20] X d

98=14 X d

d=
`(98)/(14)`

d = 7 units

Answer 2

x = 7 units

Explanation:

The area of the trapezoid is

A = 1/2 (b1+b2) *h

where b1 and b2 are the top and bottom and h is the height

Substituting what we know

98 =1/2 (20 +8) *x

Combine like terms

98 = 1/2 (28)x

98 = 14x

Divide by 14 on each side

98/14 = 14x/14

7 =x