Maths-

General

Easy

Question

# Write a radical equation that relates a square’s perimeter to its area. Explain your reasoning. Use s to represent the side length of the square.

Hint:

### Write the reason.

## The correct answer is: P=4√A

**Complete step by step solution:**

We know that,

perimeter of a square with side s = p = 4s…(i)

Area of a square with side s = A = s^{2}…(ii)

Here s = from (i)

On substituting this in (ii), we get

On taking square root, we get

We know that,

perimeter of a square with side s = p = 4s…(i)

Area of a square with side s = A = s

^{2}…(ii)

Here s = from (i)

On substituting this in (ii), we get

On taking square root, we get

**Related Questions to study**

### Express the rational expression in its lowest terms .

### Express the rational expression in its lowest terms .

### Find the product of the rational expression

### Find the product of the rational expression

### Find the extraneous solution of

### Find the extraneous solution of

Maths-

### Explain how to identify an extraneous solution for an equation containing a radical expression

### Explain how to identify an extraneous solution for an equation containing a radical expression

Maths-General

Maths-

### Solve the equation

### Solve the equation

Maths-General

Maths-

### Solve the equation

### Solve the equation

Maths-General

Maths-

### Solve the equation

### Solve the equation

Maths-General

Maths-

### Simplify each expressions and state the domain :

### Simplify each expressions and state the domain :

Maths-General

Maths-

### Express the rational expression in its lowest terms .

A rational expression is a fractional form containing polynomials on the denominator and the numerator.

### Express the rational expression in its lowest terms .

Maths-General

A rational expression is a fractional form containing polynomials on the denominator and the numerator.

Maths-

### When Multiplying , is it necessary to make the restriction x ≠ 0 ? Why or Why not ?

### When Multiplying , is it necessary to make the restriction x ≠ 0 ? Why or Why not ?

Maths-General

Maths-

### Identify the slope and y-intercept of the line:

### Identify the slope and y-intercept of the line:

Maths-General

Maths-

### Rewrite the equation to isolate x.

### Rewrite the equation to isolate x.

Maths-General

Maths-

### Find the product of the rational expression

### Find the product of the rational expression

Maths-General

Maths-

### Explain how you can tell whether a rational expression is in simplest form?

### Explain how you can tell whether a rational expression is in simplest form?

Maths-General

Maths-

### Determine whether is sometimes , always or never true . Justify your reasoning.

### Determine whether is sometimes , always or never true . Justify your reasoning.

Maths-General

Maths-

### Identify the slope and y-intercept of the line:

### Identify the slope and y-intercept of the line:

Maths-General

Maths-

### Find the extraneous solution of

### Find the extraneous solution of

Maths-General

Maths-

### Explain the similarities between rational numbers and rational expressions ?

### Explain the similarities between rational numbers and rational expressions ?

Maths-General