Question

22. A trapezoid has an area of 24 square units. The height is 3 units and the length of one of the bases is 5 units. Find the length of the other base.

Answer 1

To find the other base of the trapezoid, we use the formula for the area of a trapezoid and solve for the missing base length, which turns out to be approximately 10.67 units.

Step-by-step explanation:

To find the length of the other base of a trapezoid with an area of 24 square units, with a given height of 3 units and one of the bases measuring 5 units, we can use the formula for the area of a trapezoid, which is Area = (1/2)(base1 + base2) x height. In this problem:

Area = 24 square units

Known base (base1) = 5 units

Height = 3 units

By plugging these values into the formula, we get:

24 = (1/2)(5 + base2) x 3

To solve for the other base (base2), we can first simplify:

24 = (1/2)(5 + base2) x 3
24 = (15/2) + (3/2)(base2)
16 = (3/2)(base2)
base2 = 16 x (2/3)
base2 = 10.666...

Therefore, the length of the other base is approximately 10.67 units.

Answer 2

Step-by-step explanation:

A trapezoid is a 4-sided figure with one pair of parallel sides. For example, in the diagram to the right, the bases are parallel. To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2, The formula looks like this:

area_trapezoid1.gif or area_trapezoid2.gif

Where b1.gif is base1.gif, b2.gif is base2.gif, h.gif is height and · means multiply.

Each base of a trapezoid must be perpendicular to the height. In the diagram above, both bases are sides of the trapezoid. However, since the lateral sides are not perpendicular to either of the bases, a dotted line is drawn to represent the height.

In Examples 1 and 3 below, the height is a side of the trapezoid since it is perpendicular to the base. In Example 2, the lateral sides are not perpendicular to the base, so a dotted line is drawn to represent the height.