Rose's garden is in the shape of a trapezoid. If the trapezoid is 16m one base is 20m, and the area is 224m, ^

Rose's garden is in the shape of a trapezoid. If the trapezoid is 16m one base is 20m, and the area is 224m, ^2, find the length of the other base

Rose's garden is in the shape of a trapezoid. If the trapezoid is 16m one base is 20m, and the area is 224m, ^
1/2 x 16(20 + b) = 224

16(20 + b) = 448

20 + b = 28

b = 8



the other base is 8.



You work backwards.
Reply:Draw a picture first so you can see what you are working with.



to compute the are of a trapezoid, multiply the height time the average length of the bases



average length of bases = (length of base 1 + length of base 2) divided by 2



so (b1 + b2) / 2 * height = the area



you know b1 = 20m, height = 16m, and area = 224m^2

b2 is the unknown, which I will call x



now just plug in the values you know:



(20 + x) / 2 * 16 = 224

which is the same as

(20 + x) * 16/2 = 224

(20 + x) * 8 = 224

(20 + x) * 8/8 = 224/ 8

(20 + x) = 28



20 + x -20 = 28 - 20

x = 8