Question

Rauls hamster's house sits in a corner of its cage as shown in the diagram. The area around the house is 5 inches wide. Write an expression, in factored form, that represents the area around the house

Answer 1

5(3x +13) square inches

Explanation:

You want an expression in factored form for the 5-inch wide area around a hamster house measuring 8 in by 3x in located in the corner of a cage measuring (8+5) in by (3x+5) in.

Surround

The area around the house is the difference between the cage area and the house area:

(8+5)(3x +5) -(8)(3x)

= 39x +65 -24x

= 15x +65

= 5(3x +13)

The area around the house is 5(3x +13) square inches.

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