Question

Maggie and Lucila are friends, and they each have one daughter. They decided to build life-size doll houses for each child. The length of Maggie's doll-house is 10 feet longer than the width. Lucila's doll house will be square. The sides of Lucila's doll house are equal to the width of Maggie's doll house. What is the ratio of the area of Maggie's doll house to the area of Lucila's doll house? After you find the ratio, use it to find the ratio of the areas if the width of Maggie's doll house is 14 feet.

Answer 1

• Width of Maggie's dollhouse = 14 feet

• Length of Maggie's house = 10 feet longer than the width

• Step 1: Calculate the Length of Maggie's dollhouse:

10 feet + 14 feet

= 24 feet

• Step 2: Calculate the area of Maggie's dollhouse

Formula = Length × Width

Area of Maggie's Dollhouse = 10 feet × 24 feet

= 240 square feet

• Step 3: Calculate the area of Lucia's dollhouse:

• Note: Lucila's dollhouse will be square. The sides of Lucila's dollhouse are equal to the width of Maggie's dollhouse.

• Side length of Lucia's dollhouse = Width of Maggie's dollhouse

= 24 feet

Area of a square = Area of Lucia's dollhouse = (Side length)²

= (24 feet)²

= 576 square feet

Step 4: The ratio of the areas of Maggie's dollhouse to Lucia's dollhouse

= Maggie: Lucia

= 240 : 576

= 5 : 12

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