the area of a trapezoid is 108 square inches and one of its bases has a length of 8 inches. If the height of the trapezoid is 1.5 feet,f ind the length of the other base in inches.
area= 1/2 (b1+b2)h
108=1/2 (8+b2)18
solve for b2 in inches.
To find the length of the other base of the trapezoid, we can use the formula for the area of a trapezoid:
Area = (1/2) × (b1 + b2) × h
Where:
- b1 and b2 are the lengths of the bases of the trapezoid
- h is the height of the trapezoid
We are given the area of the trapezoid as 108 square inches, the length of one base as 8 inches, and the height as 1.5 feet. Let's convert the height to inches first.
Since 1 foot is equal to 12 inches, 1.5 feet would be 1.5 × 12 = 18 inches.
Now, let's plug in the values in the formula and solve for the length of the other base:
108 = (1/2) × (8 + b2) × 18
To isolate b2, we can start by simplifying the equation:
108 = (4 + b2) × 18
Dividing both sides of the equation by 18:
6 = 4 + b2
Subtracting 4 from both sides:
b2 = 6 - 4 = 2 inches
Therefore, the length of the other base of the trapezoid is 2 inches.