Question

A landscaping company is laying a triangular flower bed. The height of the trangle is 15ft. What lengths of the base will make the area at least 210ft squared?

Answer 1

To find the lengths of the base that will make the area at least 210 square feet, we can use the formula for the area of a triangle: Area = 1/2 * base * height. Given that the height is 15 feet, we can rearrange the formula to solve for the base: base = 2 * Area / height. Substituting the given area of 210 square feet into the formula, we get: base = 2 * 210 / 15 = 28 feet.

Step-by-step explanation:

To find the lengths of the base that will make the area at least 210 square feet, we can use the formula for the area of a triangle: Area = 1/2 * base * height.

Given that the height is 15 feet, we can rearrange the formula to solve for the base: base = 2 * Area / height.

Substituting the given area of 210 square feet into the formula, we get: base = 2 * 210 / 15 = 28 feet.

Answer 2

28 ft

Step-by-step explanation:

The height of the triangle = 15 ft

The least required area A = 210 ft^2

We know that the area of a triangle = 1/2bh

Where

b is the base

h is the height

Substituting, we have

210 = 1/2 x b x 15

210 = 15/2 x b

420/15 = b

b = 28 ft