Chapter 2: Q. 40 (page 93)

Find the value of x for the given triangle or rectangle
Perimeter 352 ft

Short Answer

Expert verified

Length of side of rectangle is $x = 66$ feet.

Step by step solution

Step-1- Using perimeter of rectangle formula

We know that,

Perimeter of rectangle $= 2 (l + b)$ , where $l =$ length of rectangle and $b =$ breadth of rectangle.

Step-2-Calculating side of rectangle

On substituting values, we get

$\begin{array}{l} 352 = 2 (110 + x) \\ 352 = 220 + 2 x \end{array}$

Step-3-Solving for value of x

Subtracting $220$ on both sides, we get

$\begin{matrix} 352 - 220 = 2 x + 220 - 220 \\ 2 x = 352 - 220 \\ 2 x = 132 \end{matrix}$

Dividing with $2$ on both sides, we get

$\begin{matrix} \frac{2 x}{2} = \frac{132}{2} \\ x = \frac{132}{2} \\ x = 66 \end{matrix}$

Therefore, length of breadth of rectangle $= x = 66$ feet.

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Find the value of x for the given triangle or rectangle
Perimeter 352 ft

Short Answer

Step by step solution

Step-1- Using perimeter of rectangle formula

Step-2-Calculating side of rectangle

Step-3-Solving for value of x

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Find the value of x for the given triangle or rectanglePerimeter 352 ft

Short Answer

Step by step solution

Step-1- Using perimeter of rectangle formula

Step-2-Calculating side of rectangle

Step-3-Solving for value of x

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Geometry

Probability and Statistics

Logic and Functions

Applied Mathematics

Decision Maths

Study anywhere. Anytime. Across all devices.

Find the value of x for the given triangle or rectangle
Perimeter 352 ft