Question

In a woodworking class, you need to make five triangles out of plywood. Each triangle has a height of 6 inches and a base of 14 inches. Which equation can you use to solve for the total amount of plywood you will need? CLEAR CHECK 5x = 12 ⋅ 6 ⋅ 14 (12 ⋅ 6 ⋅ 14) ÷ 5 = x (12 ⋅ 6 ⋅ 14) x = 5 5 ⋅ (12 ⋅ 6 ⋅ 14) = x

Answer 1

Option D:

$x=5\ .\ (\frac{1}{2}\times 14\times6)$

Solution:

Base of the triangle = 14 inch

Height of the triangle = 6 inch

Area of the triangle = $\frac{1}{2}\times bh$

where b is base and h is height.

Substitute the given values in the formula.

Area of the triangle = $\frac{1}{2}\times 14\times6$

Area of the 5 triangles = $5\ .\ (\frac{1}{2}\times 14\times6)$

Let total amount of plywood be taken as x.

Total amount of plywood = Area of the 5 triangles.

$\Rightarrow x=5\ .\ (\frac{1}{2}\times 14\times6)$

Option D is the correct answer.

$x=5\ .\ (\frac{1}{2}\times 14\times6)$

Hence this equation  can be use to solve for the total amount of plywood.