Chapter 11: Q13. (page 426)

The base of a rectangle is $(a + 3)$ and height $(a - 3)$ . What is the area and perimeter of the rectangle?

Short Answer

Expert verified

The area of the rectangle is $(a^{2} - 9) c m^{2}$ and perimeter is $(4 a) c m$ .

Step by step solution

Step 1. Given information.

Base of the rectangle $b = (a + 3)$

Height of the rectangle $h = (a - 3)$ .

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
$A = b \times h$

Perimeter of the rectangle is

$P = 2 (b + h)$

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

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

Area of the rectangle :

$\begin{matrix} A = (a + 3) \times (a - 3) \\ = (a^{2} - 9) c m^{2} \end{matrix}$

Formula used- $(a^{2} - b^{2}) = (a + b) (a - b)$

Perimeter of the rectangle:

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

Therefore, the area of the rectangle is $(a^{2} - 9) c m^{2}$ and perimeter is $(4 a) c m$

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The base of a rectangle is $(a + 3)$ and height $(a - 3)$ . 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 area & perimeter of the rectangle.

One App. One Place for Learning.

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The base of a rectangle is(a+3) and height(a−3) . 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 area & perimeter of the rectangle.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Statistics

Calculus

Probability and Statistics

Logic and Functions

Applied Mathematics

Study anywhere. Anytime. Across all devices.

The base of a rectangle is $(a + 3)$ and height $(a - 3)$ . What is the area and perimeter of the rectangle?