A landscaping company is laying out a triangular flower bed. The height of the triangle is 15 ft. What lengths of the base will make the area at least 255ft?

Hmmmm.

area=1/2 b*h or

h=2*area/base

To find the lengths of the base that will make the area of the triangular flower bed at least 255 square feet, we can use the formula for the area of a triangle:

Area = (base * height) / 2

Given that the height of the triangle is 15 ft, we substitute this value into the formula:

Area = (base * 15) / 2

Now, we can rearrange the formula to solve for the base:

base = (2 * Area) / height

Since we want the area to be at least 255 square feet, we substitute this value into the formula:

base = (2 * 255) / 15

Now, we can calculate the length of the base:

base = 510 / 15

Simplifying further:

base ≈ 34

Therefore, the length of the base will need to be at least 34 feet to make the area of the triangular flower bed at least 255 square feet.