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

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 :

[tex]area = \frac{1}{2} \times base \times height[/tex]

Let area = 60,

Let base = x,

Let height = 10,

[tex]60 = \frac{1}{2} \times x \times 10[/tex]

[tex]60 = 5 \times x[/tex]

[tex]5x = 60[/tex]

[tex]x = 12 \: inches[/tex]

Sarah06109 Sarah06109 · Answer 2 · 2020-06-07T17:16:03+02:00

Answer:

12 inches

Step-by-step 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.