Question

Misty needs 216 square inches of metal

to make a yield sign.

If the height of the sign is 18 inches,

how long is the top edge of the sign?




24 inches


12 inches


198 inches


22 inches

Answer 1

24 inches

Explanation:

Given:

`\bullet \ \ \text{Height of sign: 18 inches} \\ \bullet \ \text{Area of Yield sign: 216 inches}^(2)`

The yield sign shown here is a triangle. Therefore, the question is asking to find the base of the triangle. Keep in mind that the area of a circle is 1/2 multiplied by the base multiplied by the height.

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

Substitute the height and the area in the equation and simplify.

`\implies \text{216 inches}^(2) = (1)/(2) * \text{Base} * 18`

`\implies \text{216 inches}^(2) =\text{Base} * 9`

Divide both sides by 9.

`\implies \frac{\text{216}}{9} =\frac{\text{Base} * 9}{9}`

`\implies24 \ \text{inches} =\text{Base}`

Answer 2

24

Explanation:

Area = 216

The area of triangle = 1/2 b * h

Since height = 18 --> 1/2 b * 18

so,

216 = 1/2 b * 18

Divide both sides by 18

12 = 1/2 b

Divide both sides by 1/2, (which is the same as multiplying both sides by 2)

24 = b