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 255ft squared?
A=(1/2)*a*h
A=255 - Area
h=15 - hight
a - lenght of base
255=(1/2)*a*15 Multiply with 2
510=15*a Divide with 15
a=510/15=34
a=34ft
Checking of results:
A=(1/2)*a*h
A=(1/2)*34*15
A=(1/2)*510
A=255ft squared
Well, it seems like we have a triangular situation here, and I'm here to help you with a sprinkling of humor! To find the base length, we can use the formula for the area of a triangle, which is one-half the base times the height. Given that the height is 15ft and we want the area to be at least 255ft squared, we can write the equation as (1/2) * base * 15 ≥ 255.
Now, let's solve this equation and find the base length. Multiplying both sides by 2 gives us base * 15 ≥ 510. To isolate the base, we divide both sides by 15, which gives us base ≥ 34. So, any base length that is equal to or greater than 34 feet will make the area of the triangular flower bed at least 255ft squared.
Remember, the base length can't be negative or imaginary! Now, go forth and lay that flower bed with confidence, my friend!
To find the lengths of the base that will make the area at least 255 square feet, we can use the formula for the area of a triangle.
The formula for the area of a triangle is given by:
Area = (base * height) / 2
So, we can rearrange the formula to solve for the base:
base = (2 * Area) / height
Given that the height is 15 feet and the desired area is at least 255 square feet, we can substitute the values into the formula:
base = (2 * 255) / 15
base = 510 / 15
base = 34 feet
Therefore, any lengths of the base that are equal to or greater than 34 feet will make the area at least 255 square feet in this case.
To find the lengths of the base that will make the area of the triangular flower bed at least 255ft², we can use the formula for the area of a triangle:
Area = (base * height) / 2
Given the height of the triangle is 15ft, we can rearrange the formula to solve for the base:
base = (2 * Area) / height
In this case, we want to find the lengths of the base that will make the area at least 255ft². Therefore, we substitute the Area with 255ft² in the formula:
base = (2 * 255ft²) / 15ft
Performing the calculations:
base = 510ft² / 15ft
base = 34ft
So, any length of the base that is equal to or greater than 34ft will make the area of the triangular flower bed at least 255ft².