Question

The shape has an area of 60 square inches. Find the value of x.

Answer 1

12 inches

Explanation:

The area of a triangle can be found using the following formula.

a=(b*h)/2

We know that the triangle has an area of 60 inches squared. We also can see from the picture that the height is 10 inches, and the base is x inches.

a=60 inches^2

b= x inches

h= 10 inches

Substitute these values into the formula

60=(x*10)/2

Now, solve for x. To do this, get x alone. Perform the opposite of what is being done to the equation. Remember to perform everything to both sides of the equation.

x*10 is being divided by 2. The opposite of division is multiplication, so multiply both sides by 2.

2(60)=(x*10/2)2

2(60)=x*10

120=x*10

x is being multiplied by 10. The opposite of multiplication is division. Divide both sides by 10.

120/10=x*10/10

120/10=x

12=x

The base, or x, is 12 inches.

Answer 2

The value of x is 12.

Explanation:

Given that the area of triangle formula is A = 1/2×b×h where b represents base which is the x and h is height, 10 inches. So you have to substitute the following values into the formula :

`area = (1)/(2) * base * height`

Let area = 60,

Let base = x,

Let height = 10,

`60 = (1)/(2) * x * 10`

`60 = 5 * x`

`5x = 60`

`x = 12 \: inches`