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Video: Finding the Area of a Circle Whose Radius Is One of the Legs of a Right-Angled Triangle given the Triangle's Dimensions

Kathryn Kingham

Find the area of the parallelogram ABCD where AB=8.3 cm.<Figure>


Video Transcript

Find the area of the parallelogram 𝐴𝐡𝐢𝐷 where 𝐴𝐡 equals 8.3 centimeters.

We’re looking for the area of a parallelogram. And the area of a parallelogram is found by multiplying the base times the height. The base and the height of a parallelogram must be perpendicular to each other. This is the space. This is the parallelogram we’re trying to find the area of, 𝐴𝐡𝐢𝐷.

Our problem also told us that the lateral sides measure 8.3 centimeters. However, we cannot use these lateral sides to find the area of our parallelogram. The lateral sides of this parallelogram are not perpendicular to the bases. The height of this parallelogram is 7.7 centimeters. It is the distance between side 𝐴𝐷 and side 𝐡𝐢. Since the height 7.7 centimeters is the perpendicular distance between line 𝐴𝐷 and line 𝐡𝐢, we know that 8.8 is the base. We plug those two values into our formula. We multiply 8.8 times 8.7 and we find that the area of this parallelogram is 67.76 centimeters squared.