What is the area of the rectangle shown on the coordinate plane? Enter your answer in the blank. Do not round at any steps.

Mathematics

1 answer:

castortr0y [4]3 years ago

8 0

<h3>Answer:</h3>

12 units²

<h3>Step-by-step explanation:</h3>

Counting half-squares around the perimeter of the rectangle, we find there are 10. Counting full squares inside the rectangle, we find there are 7. Then the total area is

... (1/2)·10 +7 = 12 square units

_____

<em>Alternate calculation</em>

The long side is the hypotenuse of a right triangle with legs 3, so has length 3√2. The short side is the hypotenuse of a right triangle with legs 2, so has length 2√2. The area is the product of these lengths, so is ...

.. area = (3√2)(2√2) = 6(√2)² = 6·2 = 12 . . . square units

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