3.GR.C.7: Relate area to multiplication and addition. a. Determine the area of a rectangle with whole-number side lengths by tiling and connecting the visual representation to multiplication of the side lengths to solve problems in context. b. Use tiling and area models to show that the area of a rectangle with whole number side lengths b and c + d is the sum of b × c and b × d, representing the Distributive Property of Multiplication. c. Determine the area of composite rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas.

Relate area to multiplication and addition. a. Determine the area of a rectangle with whole-number side lengths by tiling and connecting the visual representation to multiplication of the side lengths to solve problems in context. b. Use tiling and area models to show that the area of a rectangle with whole number side lengths b and c + d is the sum of b × c and b × d, representing the Distributive Property of Multiplication. c. Determine the area of composite rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas.

Example Problems

The perimeter of a square patio is

44 \text{ meters}

.
What is the area of the patio?

The area of a square is

169 \text{ square yards}

.
What is the length of one side of the square?

The perimeter of Jonah's square backyard is

56 \text{ meters}

.
What is the area of Jonah's backyard?

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