Chapter 3: Q53. (page 122)

If the perimeter of the square shown at the right is $48 u n i t s$ , find the value of x.
$\begin{array}{l} A . 3 \\ B . 4 \\ C . 6 \\ D . 8 \end{array}$

Short Answer

Expert verified

The value of x is Option A $3$ .

Step by step solution

Step-1 – Apply the concept of perimeter of square

All sides of a square are equal. The perimeter of a square with side a is equal to the sum of all side which is mathematically expressed as.

$\begin{matrix} P = a + a + a + a \\ P = 4 a \end{matrix}$

Step-2 – Description of step

Since all sides of a square are equal, and it is given that measurement of one side is 2yand other side is 4x. so equating both the sides and simplify the equation as shown

$\begin{matrix} 2 y = 4 x \\ y = 2 x \end{matrix}$

Step-3 – Description of step

It is given that perimeter of the square is $48 u n i t s$ . So, apply the formula of finding the perimeter with side 4x as all sides are equal and find the value of x

$\begin{matrix} P = a + a + a + a \\ 48 = 2 y + 4 x + 2 y + 4 x \\ 48 = 4 y + 8 x \\ 12 = y + 2 x \end{matrix}$

Now, substitute the value of $y = 2 x$ in $12 = y + 2 x$ and solve to find the value of x.

$\begin{matrix} y + 2 x = 12 \\ 2 x + 2 x = 12 \\ 4 x = 12 \\ x = 3 \end{matrix}$

Thus, the value of x is 3.

Hence, value of xis $3$ and the correct option is Option C.

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If the perimeter of the square shown at the right is $48 u n i t s$ , find the value of x.
$\begin{array}{l} A . 3 \\ B . 4 \\ C . 6 \\ D . 8 \end{array}$

Short Answer

Step by step solution

Step-1 – Apply the concept of perimeter of square

Step-2 – Description of step

Step-3 – Description of step

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If the perimeter of the square shown at the right is 48 units, find the value of x.A. 3B. 4C. 6D. 8

Short Answer

Step by step solution

Step-1 – Apply the concept of perimeter of square

Step-2 – Description of step

Step-3 – Description of step

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Decision Maths

Discrete Mathematics

Statistics

Calculus

Applied Mathematics

Study anywhere. Anytime. Across all devices.

If the perimeter of the square shown at the right is $48 u n i t s$ , find the value of x.
$\begin{array}{l} A . 3 \\ B . 4 \\ C . 6 \\ D . 8 \end{array}$