Algebra word problem help - cannot get the correct solution.?

Rose’s garden is in the shape of a trapezoid. If the height of the trapezoid is 16m, one base is 20m, and

2

the area is 224m , find the length of the other base





thank you in advance for your help

Algebra word problem help - cannot get the correct solution.?
The formula for a trapezoid's area is:

A = (1/2)(b1 + b2)h



where h is the height and b1, b2 are the two bases.



So plug in what you know and solve for the second base:

224 = (1/2)(20 + b2)16

224 = 8(20 + b2)

224/8 = (20 + b2)

28 = 20 + b2

8 = b2

The other base is 8m.
Reply:X = Base 1

Y = Base 2

Z = Height

A = Area



The area of the trapezoid is

A = Z*(X+Y)/2

16*(20+Y)/2 = 224

16*(20+Y) = 448

320 + 16Y = 448

16Y = 448 - 320 = 128

Y = 128/16 = 8



So the length of the other base is 8m
Reply:The area of a trapezoid can be found by splitting it up into a rectangle and two triangles.

Say the two triangles had lengths a and b. The area (224) is (20-a-b)(16)+.5a*16 + .5b*16.

That simplifies down to 320- 16a - 16b + 8a + 8b

320- 8a - 8b = 224

-8a - 8b = -96

8a + 8b = 96

a+b = 12



Since a and b are the parts that stick out of the bottom, the length of the top is the total bottom (20) minus (a+b).



Your answer is 8 m.
Reply:Area of a trapezoid: A = 1/2 h (b + B)

You have the area, the height and a base, plug in and find the missing base

224 = (1/2)(16)(b + 20)

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