Question

from unit 2, lesson 11
the shaded part of this diagram represents the top of a stove. what is the area of the stovetop? explain or show your reasoning.
1 ft
1 ft

Explanation:

Step1: Calculate the area of one small square

The area of a square is \(A = s\times s\), where \(s = 1\) ft. So, \(A=1\times1 = 1\) square - foot.

Step2: Count the number of small squares

By counting the number of \(1\times1\) ft squares in the diagram, we find there are \(8\) such squares.

Step3: Calculate the area of the stovetop

The area of the stovetop is the number of small - square areas. If each small square has an area of \(1\) square - foot and there are \(n = 8\) small squares, then the area of the stovetop \(A_{total}=n\times1\). So, \(A_{total}=8\times1=8\) square - feet.

Answer:

The area of the stovetop is \(8\) square - feet.