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 [tex]ft^{2}[/tex]
We know that the area of trapezoid=[tex]\frac{1}{2}* (height)(sum of the parallel sides)[/tex]
10=[tex]\frac{1}{2}*(4)*(x+x+1)[/tex]
[tex]2x+1=5[/tex]
[tex]x=2[/tex]
The lengths of the base are 2 ft and 3 ft
