Question

For a project, you need to make three triangles out of cardboard. Each triangle has a height of 5 inches and a base of 10 inches. Which equation can you use to solve for the total amount of cardboard you will need?

Answer 1

Option 1st is correct

`3 \cdot ((1)/(2) \cdot  10 \cdot 5)=x`

Explanation:

Area of the triangle is given by:

`A = (1)/(2)bh`

where,

A is the area of the triangle

b is the base and

h is the height of the triangle.

As per the statement:

For a project, you need to make three triangles out of cardboard.

Each triangle has a height of 5 inches and a base of 10 inches

⇒b = 10 inches and h = 5 inches

`\text{Area of each triangle} = (1)/(2) \cdot  10 \cdot 5`

Since, you need to make three triangles out of cardboard

⇒
`\text{Area of 3 triangle}(x) =3 \cdot ((1)/(2) \cdot  10 \cdot 5)`

Therefore, an equation can you use to solve for the total amount of cardboard you will need is,

`3 \cdot ((1)/(2) \cdot  10 \cdot 5)=x`