if the length of one side of a rectangle is 10 cm. if its perimeter is 28 cm, find the area
To find the area of a rectangle, we need to know the length and width. In this case, we are given that the length of one side is 10 cm. Let’s assume that the width of the rectangle is represented by ‘w’ cm.
The perimeter of a rectangle is given by the formula P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
Given that the perimeter is 28 cm, we can substitute the known values into the formula:
28 = 2(10 + w)
We can simplify this equation:
28 = 20 + 2w
Now, let’s solve for ‘w’:
2w = 28 - 20
2w = 8
w = 4
So, the width of the rectangle is 4 cm.
Now, we can calculate the area of the rectangle using the formula A = l * w, where A is the area, l is the length, and w is the width:
A = 10 * 4
A = 40 cm²
Therefore, the area of the rectangle is 40 square centimeters.