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

Answer:

The lengths of the base are 2 ft and 3 ft

Step-by-step 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=$\frac{1}{2}* (height)(sum of the parallel sides)$

10=$\frac{1}{2}*(4)*(x+x+1)$

$2x+1=5$

$x=2$

The lengths of the base are 2 ft and 3 ft