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What is the area of this rectangle?

What is the area of this rectangle?-example-1
User Satia
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4 votes

Answer:

?

Explanation:

User BOSS
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3 votes

Answer:

50 units²

Explanation:

It's helpful, but not absolutely mandatory, to sketch the rectangle. Doing this clearly positions the length and width of the rectangle.

The length of the line segment connecting A and B is the width of the rectangle, and that connection A and D is the length.

Use the Pythagorean Theorem to find the length and width:

length: Moving from A to D, we see that x increases by 8 units and that y increases by 6 units. Thus, the length of line segment AD is

|AD|² = 6² + 8² = 10², so |AD| = 10.

Similarly, the length of line segment AB is

|AB|² = 3² + 4² = 5², so that |AB| = 5.

The area of the rectangle is thus (length)(width) = (10)(5) = 50 units²

User Theiskaa
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