SOLUTION: 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.
Area of trape
Question 77138: 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.
Area of trapezoid: A=1/2h(B+b) A=(1/2)h(B+b)
Hints:
B and b are 2 different variables. B is not equal to b
B and b are both bases of the trapezoid. (A trapezoid has 2 bases)
B is 20 m; you must find b.
You may want to use your answer to question 24 above to solve this problem, BUT IT IS NOT ACTUALLY NECESSARY; it just makes it slightly easier.
Be sure to check your answer. Put your answer back into the formula for the area of a trapezoid. Does the garden area still equal 224 m2?
You can put this solution on YOUR website! area=(1/2)*16*(base1+base2)
given base1=20
let base2 =x
then
area=(1/2)*16*(20+x)=224
20+x=(224*2)/16
20+x=28
x=28=20=8
so the other base is 8 m long.
verification:
area=1/2)*16*(28)=224
ok..good day..
(Ps * is used as multiplication symbol to avoid confusion with base x)
