Question

A square has a perimeter of 25 inches. What is the area of the square?

Answer 1

The area of the square is 39.0625 in²

Further explanation

To solve the above questions, we need to recall some of the formulas as follows:

Area of Square = (Length of Side)²

Perimeter of Square = 4 × (Length of Side)

Area of Rectangle = Length × Width

Perimeter of Rectangle = 2 × ( Length + Width )

Area of Rhombus = ½ × ( Diagonal₁ + Diagonal₂ )

Perimeter of Rhombus = 4 × ( Length of Side )

Area of Kite = ½ × ( Diagonal₁ + Diagonal₂ )

Perimeter of Kite = 2 × ( Length of Side₁ + Length of Side₂ )

Let us now tackle the problem !

Given:

Perimeter of Square = P = 25 inches

Unknown:

Area of Square = A = ?

Solution:

This problem is about Area and Perimeter of Square.

$\texttt{Perimeter of Square} = 4 \times \texttt{Side Length}$

$25 = 4 \times \texttt{Side Length}$

$\texttt{Side Length} = 25 \div 4$

$\texttt{Side Length} = \boxed{6.25 ~ \texttt{inches}}$

$\texttt{Area of Square} = (\texttt{Side Length})^2$

$\texttt{Area of Square} = \texttt{6.25}^2$

$\texttt{Area of Square} = \boxed {39.0625 ~ \texttt{inches}^2}$

Learn more

• The perimeter of a polygon : brainly.com/question/6361596
• The perimeter of a rectangle : brainly.com/question/7619923
• The perimeter of a triangle : brainly.com/question/2299951

Answer details

Grade: College

Subject: Mathematics

Chapter: Two Dimensional Figures

Keywords: Perimeter, Area , Square , Rectangle , Side , Length , Width

Answer 2

To find the perimeter you add all the side up. A square has four sides. Area, need to multiply 2 sides together. So, divide 25 by 4 and get 6.25. times 6.25 by 6.25 to get 39.0625. YOUR ANSWER IS 39.0625.