Trapezoid Area 1.375 cm²: Find the Red Side Length

The area of the trapezoid in the diagram is 1.375 cm².

Work out the length of the side marked in red.

4440.50.50.5AAABBBCCCDDD

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:09 Let's find A B.
00:12 We'll use the trapezoid area formula.
00:16 Add the lengths of the bases, A B and D C, multiply by the height, H, and then divide by 2.
00:25 Now, substitute the given values to solve for A B.
00:38 Multiply both sides by 2 to clear the fraction.
00:54 Next, multiply by the reciprocal.
01:03 Isolate A B to find its value.
01:14 And that's how we solve the problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

The area of the trapezoid in the diagram is 1.375 cm².

Work out the length of the side marked in red.

4440.50.50.5AAABBBCCCDDD

2

Step-by-step solution

The area of the trapezoid will be equal to: S=(AB+DC)2×h S=\frac{(AB+DC)}{2}\times h

We insert the available data into the formula:

1.375=AB+42×0.5 1.375=\frac{AB+4}{2}\times0.5

We then multiply by 2 in order to remove the fraction:

Lastly we again multiply by 2:

5.5=AB+4 5.5=AB+4

5.5−4=AB 5.5-4=AB

1.5=AB 1.5=AB

3

Final Answer

1.5 1.5 cm

Practice Quiz

Test your knowledge with interactive questions

Given the following trapezoid:

AAABBBCCCDDD584

Calculate the area of the trapezoid ABCD.

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