High School

Davi will use 44 linear feet of wood to make a frame for a rectangular sandbox. The area, \( A \), of the sandbox is given by the equation below where \( W \) is the width of the sandbox.

\[ A(w) = 22w - w^2 \]

What is the largest possible area, in square feet, that Davi can create with this piece of wood?

Answer :

The largest possible area, in square feet, that Davi can create with this piece of wood is 120 feet square.

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Given that Davi will use 44 linear feet of wood to make a frame for a rectangular sandbox.

The area,of the sandbox is given by the equation below where W is the width of the sandbox.

A(w)=22w-w²

Perimeter = 44 feet

width = 22 - Length = 10

Hence, A(w)=22w-w²

A(10)=22 (10) - (10)²

A(10) = 220 - 100

A(10)= 120 feet square.

Learn more about the area;

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