Q:

The width of a rectangle is half as long as thelength. The rectangle has an area of 128 squarefeet. What are the length and width of therectangle?Separate the answers with a comma.

Accepted Solution

A:
Answer:The length of the rectangle is 16 feet, the width of the rectangle is 8 feet.Step-by-step explanation:1. Let's check the information given to resolve the question:Length of the rectangle = xWidth of the rectangle = x/2 ( half as long as the  length)Area of the rectangle = 128 square feet2. Let's find the value of the length and the widthArea of the rectangle = Length of the rectangle * Width of the rectangle 128 = x * x/2128 = x² /2 (x * x = x²)256 = x² (Multiplying by 2 to both sides of the equation)x² = 256 √x² = √ 256 x = 16The length of the rectangle is 16 feet.Width of the rectangle = x/2 = 16/2 = 8 feet.The length of the rectangle is 16 feet, the width of the rectangle is 8 feet.