Question

The area of the triangle below is 14.25 square feet. What is the length of the base?

Answer 1

5.7 feet

Explanation:

The area formula for a triangle: A=(1/2) Base x Height

1. What we know: 14.25=(1/2)Base x 5

2. Now isolate "base" to get the answer. First, divide by 1/2. Dividing by 1/2 is the same as multiplying by 2. Leaves us with: 28.5=Base x 5.

3. The last thing we have to do is divide 5: 5.7=base.

4. To make sure, check with the formula: (1/2) 5.7 x 5=14.25

Answer 2

5.7 feet

Explanation:

Given:

`\text{Height of triagle: 5 ft}`

Formula;

`\text{Area of triangle}= (1)/(2) * \text{Base} * \text{Height}`

Substitute the height and the area in the formula;

`\implies\text{Area of triangle}= (1)/(2) * \text{Base} * \text{Height}`

`\implies14.25 = (1)/(2) * \text{Base} * 5`

Use cross multiplication;

`\implies14.25 = (1)/(2) * \text{Base} * 5`

`\implies14.25 * 2= \text{Base} * 5`

Simplify the left hand side;

`\implies14.25 * 2= \text{Base} * 5`

`\implies28.5= \text{Base} * 5`

Divide both sides of the equation by 5;

`\implies(28.5)/(5) = \frac{\text{Base} * 5}{5}`

`\implies \text{Base} = (28.5)/(5) = 5.7 \ \text{ft}`

Therefore, the measure of the base is 5.7 feet.