. Rose’s garden is in the shape of a trapezoid. If the height of the trapezoid
is 16 m, one base is 20 m, and the area is 224 m2, find the length of the other base.
2007-08-10 18:53:37 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
8 m
the formula for the area of a trapezoid is 1/2 * h * (b1+b2)=a
so what i did was i made an equation
1/2 * 16 *(20+x)=224-solve this equation
8 * (20+x)=224
160 + 8x=224
8x=64
x=8
x is for the unidentified base2
2007-08-10 19:04:20 · answer #1 · answered by Anonymous · 0⤊ 0⤋
A=1/2(a+b)h is the formula for trapezoid's area.
h=16m
let a=20m be the first base & b is equal to the unknown base.
A=224m2
then, substitute all values given to the formula:
224=1/2(20+b)16
224=(20+b)8
224=160+8b
b=(224-160)/8=8m
so, the length of the other base would be 8m.
2007-08-11 02:21:26 · answer #2 · answered by Bryan 1 · 0⤊ 0⤋
formula for the area of a trapezoid is Area = h/2*(b1+b2)
h = Height, b1 = Bottom base b2 = Top base Plugging in given values we get:
16/2*(20+b2)=224
8*(20+b2)=224
20 + b2 = 224/8 = 28 divide both sides by 8
b2=28 - 20 = 8 meters
2007-08-11 03:09:54 · answer #3 · answered by 037 G 6 · 0⤊ 0⤋