High School

We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

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

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

Answer :

Answer:

24

Step-by-step 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

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Rewritten by : Barada

Answer:

24 inches

Step-by-step explanation:

Given:

[tex]\bullet \ \ \text{Height of sign: 18 inches} \\ \bullet \ \text{Area of Yield sign: 216 inches}^{2}[/tex]

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.

[tex]\implies \text{Area of yield sign} = \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]

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

[tex]\implies \text{216 inches}^{2} = \dfrac{1}{2} \times \text{Base} \times 18[/tex]

[tex]\implies \text{216 inches}^{2} =\text{Base} \times 9[/tex]

Divide both sides by 9.

[tex]\implies \dfrac{\text{216}}{9} =\dfrac{\text{Base} \times 9}{9}[/tex]

[tex]\implies24 \ \text{inches} =\text{Base}[/tex]