The area of a trapezoid can be found using the formula 1 over 2 ( B+b )h. You are the chief engineer at a company that builds trapezoidally shaped pools. You need to create a pool cover that will cover this shape pool. You know that the (B) Base equals 5 ' and the (b) base equals 10 ' . The ( h ) height from the base to base equals 12 ' . How much area do you need to cover??
show all work.
2006-07-26 09:05:52 · 9 answers · asked by xoreos02 1 in Education & Reference ➔ Homework Help
You have the formula and all the numbers. Put the numbers into the formula and you will have your answer. Show your own work.
2006-07-26 09:09:14 · answer #1 · answered by Caffeinated 4 · 1⤊ 0⤋
B = 5 ft
b = 10 ft
h = 12 ft
Let A = the area of the trapezoid in sq ft.
I believe the area of a trapezoid is found using the following formula:
A = ((B + b)/2)h
Anyway, plug in the values for each variable and do the math.
A = ((10 + 5)/2)*12
A = (15/2)(12)
A = (15)(6)
A = 90 square feet
Hope this helps.
By the way, your phrasing of the formula makes it hard to interpret as 1 over 2 could lead to an equation that looks like this:
A = 1/(2 (B+b)h)
2006-07-26 16:15:58 · answer #2 · answered by Esh F 2 · 0⤊ 0⤋
So you're essentially asking the area of the surface of the pool? If so, follow the formula. 1/2 (b1 + b2) *h.
Fortunately, you can utilize the commutative property and change
1/2 (10 + 5) * 12 into
1/2*12*(10+5)
This makes multiplying easier since 1/2 times 12 is a whole number.
So, now you have 6 * 15.
Which I think you can do on your own.
Obviously, I skipped some steps so that I didn't do ALL of your homework for you. :)
By the way, MOD's answer is REALLY wrong. Please follow the formula and standard order of operations.
2006-07-26 16:12:30 · answer #3 · answered by Tom B 1 · 0⤊ 0⤋
1/2(B+b)h ===> 1/2(5+10)12 ===> 1/2(15)12 ===> 1/2(180) ===> 90'
2006-07-26 16:09:32 · answer #4 · answered by Anonymous · 0⤊ 0⤋
1/2 * 12 * (5+10) =
1/2 * 12 * (15) =
6 * 15 =
90 square feet
2006-07-26 16:14:29 · answer #5 · answered by mickyyyyy 3 · 0⤊ 0⤋
1/2 (5+10)=7.5
7.5 *12 = 90
2006-07-26 16:09:16 · answer #6 · answered by carpetao 3 · 0⤊ 0⤋
Make it a little bit bigger and have customer trim to fit when he gets it.
. . . I couldn't resist. I did ask my son if he knew, but he's only in 8th grade, super smart, though, wants to be engineer. Good luck
2006-07-26 16:16:16 · answer #7 · answered by Jennifer 3 · 0⤊ 0⤋
((5+10)*12)/2
90sqft
2006-07-26 16:26:47 · answer #8 · answered by Anonymous · 0⤊ 0⤋
I dunno maybe it 5/10 x12
so i guess it would be like 6u2 or something.
or maybe its 5x10x12
so it would be 510u2
If my answer doesnt work sorry. Im goin into 8th grade so i dont know algebra and Im not to good at word problems so I tried.
2006-07-26 16:11:47 · answer #9 · answered by Anonymous · 0⤊ 0⤋