A lot is in the shape of a trapezoid. The sum of the bases is 180 feet. If the area of the lot is 8100 square feet, what is the distance across the lot, i.e., the altitude of the figure?

The altitude is 90.

Step-by-step explanation: the formula to calculate a trapezoid: A = (.5)(B+b)h.

plug the values in.

8100 = (.5)(180)h

8100 = 90h

h = 8100/90

h = 90

So say the width of the rectangle is x, then the length would be x + 4 as it's 4cm greater. So you add all of the sides and you get 4x + 8 = 32
Subtract 8 from both sides and you're left with 4x = 24.
Divide both sides by 4 to get the value of x which is 6.
6 + 4 = 10.