SOLUTION: A triangular garden has an area of 200ft^2. It's height is 9 ft more than it's base. Find the measure of the base.
Algebra.Com
Question 858946: A triangular garden has an area of 200ft^2. It's height is 9 ft more than it's base. Find the measure of the base.
Answer by ben720(159) (Show Source): You can put this solution on YOUR website!
Your question was: "A triangular garden has an area of 200ft^2. It's height is 9 ft more than it's base. Find the measure of the base."
let b = x
let h = x+9
Distribute the x
Subtract 200 from both sides
Multiply both sides by 2
Plug the values into the quadratic formula
Do the multiplication
The square root of 1681 is 41.
At this point you have to split it into 2 equations: one where you add 41, and one where you subtract 41. We'll deal with the first one first.
Next, deal with Subtract 41
Since the base can't be negative, discard -25.
The base is 16ft.
To check, plug it in to the area formula:
Your checked answer is 16 feet long.
RELATED QUESTIONS
A triangular garden has an area of 108sq ft. Its height is 6ft more than its base. Find... (answered by cleomenius)
a triangular garden has an area of 154 square feet. its height is 8 feet more than its... (answered by xcentaur)
A triangular garden has an area of 90 sq feet. It's height is 8 feet more than its base.... (answered by nerdybill)
a triangular garden is 20 ft taller than it is wide. The area is 750 ft^2. find the... (answered by ikleyn)
Please help me solve this equation: A triangular garden has an area of 65 feet^2. It's... (answered by JulietG)
The height of a triangle is 12cm more than it's base. It's area is 32cm². Find the base... (answered by Alan3354)
The height of a triangle is 3 cm more than it’s base. Find the height and base if... (answered by greenestamps)
The triangular entrance to a tent is 2 feet taller than it is wide. the area
of the... (answered by HasanSahin)
The triangular entrance to a tent is 2 feet taller than it is wide. the area of the... (answered by robertb)