Rose's garden is in the shape of a trapezoid. If the height of the trapezoid is 16m, one base is 20m and the area is 224m2, what is the length of the other base?

The area of a trapezoid is:
A= (1/2) h (b1 + b2)
...where h = height and b1, b2 are the bases.

Substitute what you know to solve for the unknown.

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

Hopefully, you can solve for x, which will be the other base.

  1. 👍
  2. 👎
  3. 👁
  1. 224= 16(20+b2)
    2x224= 320+b2/2x2
    Since 320+b2 over 2 has to multiply by 2 to get rid of the denominator, 224(area), has to also multiply by 2.
    320 divided by 2 is 160
    448 divided by 2 is 224 again.
    Second base equals 160

    1. 👍
    2. 👎
  2. how-

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. geometry

    The trapezoids are similar. The area of the smaller trapezoid is 564m^2. Find the area of the larger trapezoid to the nearest whole number. The smaaler trapezoid is 24m, and the larger trapezoid is 57m. Possible answers:

  2. Math

    1. A parking lot space is in shape of a rectangle. If the space has a length of 23 feet and a width of 12 feet, what is the area of the parking space? A.128ft2 B.266ft2 C276ft2**** D138ft2 2. Each blade on a windmill is in shape

  3. geometry help

    a trapezoid has base lengths of 4 and 19 feet, with an area of 115 square feet. what is the height of the trapezoid?

  4. Math 7B

    1. Find the area of the trapezoid. (1 point) A. 270 mm2 B.375 mm2 C.750 mm2 D.3780 mm2 2. Find the area of the trapezoid. (1 point) A.1543.5 m2 B.220.5 m2 C.294 m2 D.588 m2 3. A trapezoid has an area of 24 square meters. The

  1. Math plz help one question only!!!!!!!!!!!!!!!!!!!!

    A trapezoid has an area of 24 square meters. The lengths of the bases of the trapezoid are 5 meters and 7 meters. What is the height of the trapezoid? • 4 meters************ • 144 meters • 2 meters • 1 meter

  2. geometry please help!!!!

    The base of a right prism is isosceles trapezoid with legs c=d = 5 cm, bases a=8 cm and b=14 cm, and altitude of the trapezoid k=4 cm. The height of the prism h=10 cm. Find: Lateral area

  3. Geometry

    The measure of the consecutive sides of an isosceles trapezoid are in the ratio 8:5:2:5 the perimeter of the trapezoid is 140 inches if it's height is 20 inches find the area of the trapezoid

  4. math

    which figure has the same area as the parallelogram shown below? A.a triangle with a base 4 mm and a height of 20 mm B.a trapezoid with the base of 15 mm and 25 mm and a height of 2 mm C.a trapezoid with bases of 6 mm and 14 mm

  1. Math

    Trapezoid ABCD is congruent to trapezoid EFGH. Which statement is true? Trapezoid ABCD and trapezoid EFGH are shown. Trapezoid ABCD is shown with side AB measuring 15 cm, side CD measuring 9 centimeters, and the height of

  2. math

    The formula for the area of a trapezoid is A=1/2h(b1+b2) were h is the height of the trapezoid, and b1 and b2 are the base lengths of the trapezoid. Which formula can be used to find the length of b1?

  3. Math

    The area of a trapezoid is 18sq. ft and the sum of its bases is 6 ft. Find the area of a square whose side is equal to the height of the trapezoid.

  4. geometry

    An isosceles trapezoid has base angles equal to 45 and bases of lengths 6 and 12. Find the area of the trapezoid.

You can view more similar questions or ask a new question.