Chapter 11: Q15. (page 426)

The base of a rectangle is $(x)$ and area $(x^{2} - 3 x)$ . What is the area and perimeter of the rectangle?

Short Answer

Expert verified

The perimeter of the rectangle is $(4 x - 6)$ and height is $(x - 3)$ .

Step by step solution

Step 1. Given information.

Base of the rectangle $b = (x)$

Area of the rectangle $A = (x^{2} - 3 x)$ .

Step 2. Concept Used.

If b is the base of the reactangle and h is the height of the rectangle.

Then, the area of the rectangle is

$\begin{array}{l} A = b \times h \end{array}$

Perimeter of the rectangle is

$P = 2 (b + h)$

Step 3. Let’s calculate the height & perimeter of the rectangle.

Put the value of base and area into the formula and find the height.

Area of the rectangle :

$\begin{array}{l} A = b \times h \\ (x^{2} - 3 x) = (x) \times (h) \\ h = \frac{(x^{2} - 3 x)}{x} \\ h = (x - 3) \end{array}$

Perimeter of the rectangle:

$\begin{matrix} P = 2 (x + x - 3) \\ = 2 (2 x - 3) \\ = (4 x - 3) \end{matrix}$

Therefore, the perimeter of the rectangle is $(4 x - 6)$ and height is $(x - 3) .$

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The base of a rectangle is $(x)$ and area $(x^{2} - 3 x)$ . What is the area and perimeter of the rectangle?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept Used.

Step 3. Let’s calculate the height & perimeter of the rectangle.

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The base of a rectangle is(x)and area(x2−3x). What is the area and perimeter of the rectangle?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept Used.

Step 3. Let’s calculate the height & perimeter of the rectangle.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Statistics

Geometry

Pure Maths

Theoretical and Mathematical Physics

Logic and Functions

Study anywhere. Anytime. Across all devices.

The base of a rectangle is $(x)$ and area $(x^{2} - 3 x)$ . What is the area and perimeter of the rectangle?