Find the length of the other base of a trapezoid height is 16m, one base is 20m and the area is 224 squared. Find the base of the other base.
2007-11-22 16:54:27 · 6 answers · asked by Syl 2 in Science & Mathematics ➔ Mathematics
The area of trapezoid
= (upper + base) * height / 2
224 = (upper + 20) * 16 /2
224 = (upper + 20) * 8
28 = upper + 20
upper = 8
The base of the other base is 8m.
2007-11-22 17:26:55 · answer #1 · answered by Chan A 3 · 0⤊ 0⤋
The area of a trapezoid is found by taking the average of the two bases and multiplying that by the height. So you have to work backwards as follows:
Divide the area by the height, 224/16 = 14. That's the average of the two bases, so multiply it by 2 to get the total of the two bases. 14x2 = 28. Now subtract the known base to get the length of the other base. 28-20 = 8. Answer would be 8m.
2007-11-22 17:27:54 · answer #2 · answered by TitoBob 7 · 1⤊ 0⤋
Height = h = 16 m
Sides are a = 20 m and b = b m
Area = A = 224 m ²
A = (1/2) h (a + b)
2A = ha + hb
448 = 16 x 20 + 16 b
448 = 320 + 16 b
16 b = 128
b = 8 m
2007-11-22 21:36:01 · answer #3 · answered by Como 7 · 0⤊ 1⤋
Area = height x average of two bases of 20 and x
224 = 16*14
Since 14 m is the average length of two bases, the length of the other base is x = 14-(20-14) = 8 m.
2007-11-22 16:59:01 · answer #4 · answered by sahsjing 7 · 0⤊ 0⤋
16(x + 20)/2 = 224
x + 20 = 28
x = 8 m
2007-11-22 17:22:49 · answer #5 · answered by Helmut 7 · 0⤊ 0⤋
Hint ; use the formula for the area of a trapezoid .
2007-11-22 16:58:34 · answer #6 · answered by ted s 7 · 0⤊ 0⤋