Crafts. 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.
2007-01-12 13:24:01 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
area = alt * (B1+b2)/2....therefore
224 = 16 times (20 + x )/2
224 = 8 times (20 + x)
224 = 160 + 8x...subtract 160
64 = 8x....divide by 8
x = 8
2007-01-12 13:31:30 · answer #1 · answered by tom4bucs 7 · 0⤊ 0⤋
area= 224
area of a trap. is (b1+b2)÷2 so b1=20
hieght= 16 you need to find out what number times 16 equals 224 and it is 14... 20+x÷2=14 so x=8
b2 or the other base is 8
2007-01-12 22:19:38 · answer #2 · answered by Dono!! 2 · 1⤊ 0⤋
Let
The area of a trapezoid is:
A = (1/2)(b1 + b2)h
A = area = 224
b1 = first base = 20
b2 = second base
h = height = 16
A = (1/2)(b1 + b2)h
2A = (b1)h + (b2)h
2A - (b1)h = (b2)h
b2 = {2A - (b1)h}/h = 2A/h - b1
b2 = 2*224/16 - 20 = 8 m
The length of the other base is 8 meters.
2007-01-12 21:32:43 · answer #3 · answered by Northstar 7 · 1⤊ 0⤋
a=(b1+b2)/2xh
rearrange
b2=(2a/h)-b1
b2=(2x224/16)-20
b2=8
2007-01-12 21:34:31 · answer #4 · answered by louis504842 2 · 1⤊ 0⤋