Yield sign is a triangle and has an area of 10 sq ft. the height is 4ft what is the base length? Must include proper units.

Answer 1

To find the base length of a triangle given its area and height, you can use the formula for the area of a triangle:

\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]

In this case, you know the area of the yield sign triangle is 10 sq ft, and the height is 4 ft. Plugging these values into the formula, we have:

\[ 10 , \text{sq ft} = \frac{1}{2} \times \text{base} \times 4 , \text{ft} \]

To isolate the base, first multiply both sides of the equation by 2:

\[ 20 , \text{sq ft} = \text{base} \times 4 , \text{ft} \]

Next, divide both sides by 4 ft:

\[ \text{base} = \frac{20 , \text{sq ft}}{4 , \text{ft}} = 5 , \text{ft} \]

Thus, the base length of the yield sign triangle is 5 ft.