SOLUTION: a triangular garden has an area of 154 square feet. its height is 8 feet more than its base. find the measure of the base.

Question 17775: a triangular garden has an area of 154 square feet. its height is 8 feet more than its base. find the measure of the base.
Answer by xcentaur(357) (Show Source): You can put this solution on YOUR website!
area=154 sp feet=1/2bh
h=b+8
then area becomes:
154=b(b+8)/2
154*2=b(b+8)
308=b^2+8b
b^2+8b-308=0
(b-14)(b+22)=0
b=14,-22

length of base cannot be negative
hence b=14 feet

Hope this helps,
Prabhat

RELATED QUESTIONS
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 has an area of 108sq ft. Its height is 6ft more than its base. Find... (answered by cleomenius)

Please help me solve this equation: A triangular garden has an area of 65 feet^2. It's... (answered by JulietG)

A triangular sign has a height that is twice its base. The area of the sign is 10 square... (answered by checkley79)

The triangular mainsail on a catamaran has a height 4 feet more than the width of its... (answered by Earlsdon)

A triangular garden has an area of 200ft^2. It's height is 9 ft more than it's base. Find (answered by ben720)

The height of a parallelogram is 10 feet more than its base. If the area of the... (answered by ikleyn)

a triangular garden has an area or 45 square meters. its base is 3 meters longer than... (answered by mananth)

The area of a triangular poster is 84 square feet. Its height is 2 feet shorter than the (answered by nerdybill)