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watbithe hieght of a trapizoid with an area of 24 square inches if the two bases measure 4 inchesand 6 inches

User Simonc
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2 Answers

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Final answer:

The height of the trapezoid is 4.8 inches.

Step-by-step explanation:

The height of a trapezoid can be found using the formula:

Area = 1/2 x (base1 + base2) x height

Given that the bases measure 4 inches and 6 inches, and the area is 24 square inches, we can substitute these values into the formula to solve for the height:

24 = 1/2 x (4 + 6) x height

24 = 1/2 x 10 x height

24 = 5 x height

height = 24 / 5 = 4.8 inches

Therefore, the height of the trapezoid is 4.8 inches.

User Anthony Keane
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The height of the trapezoid with an area of 24 and bases of 4 in and 6 in is 4.8 inches.

A trapezoid is simply a quadrilateral with at least one pair of parallel sides.

The area of a trapezoid is expressed as:

Area = 1/2 × ( base A + base B ) × Height

Given the data in the question:

Area of the trapezoid = 24 square inches

Length of base A = 4 inches

Length of base B = 6 inches

Height =?

Plug these values into the above formula and solve for the height of the trapezoid:

Area = 1/2 × ( base A + base B ) × Height

24 = 1/2 × ( 4 + 6 ) × Height

2 × 24 = ( 4 + 6 ) × Height

48 = 10 × Height

Divide both sides by 10:

Height = 48/10

Height = 4.8 inches

Therefore, the height of the trapezoid measures 4.8 inches.

This question is not complete, the complete question is:
What is the height of a trapezoid with an area of 24 square inches if the two bases measure 4 inches and 6 inches?

User Ahmed Saeed
by
8.2k points

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