Question

A caution flag on the side of a road is shape like a trapezoid. One base of the trapezoid is 1 ft shorter than the other base.Find the lengths of the base if the trapezoid is 4 ft high and has an area of 10 ft^2

Answer 1

The lengths of the base are 2 ft and 3 ft

Explanation:

Let one base of the trapezoid be x ft

Then the other parallel side is equal to x+1 ft

Given height of the trapezoid = 4 ft

Area of the trapezoid = 10
`ft^(2)`

We know that the area of trapezoid=
`(1)/(2)* (height)(sum of the parallel sides)`

10=
`(1)/(2)*(4)*(x+x+1)`

`2x+1=5`

`x=2`

The lengths of the base are 2 ft and 3 ft