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]
