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

What are some of the best hotels