Chapter 11: Q16. (page 426)

The area of a rectangle is $(y^{2} + 7 y)$ and height $(y)$ . What is the perimeter and base of the rectangle?

Short Answer

Expert verified

The perimeter of the rectangle is $(4 y + 14)$ and base is $(y + 7)$ .

Step by step solution

Step 1. Given information.

Area of the rectangle $A = (y^{2} + 7 y)$

Height of the rectangle $h = (y)$ .

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 base & perimeter of the rectangle.

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

of the rectangle :

$\begin{matrix} A = (b) \times (h) \\ y^{2} + 7 y = (b) \times y \\ b = \frac{y^{2} + 7 y}{y} \\ b = y + 7 \end{matrix}$

Perimeter of the rectangle:

$\begin{matrix} P = 2 (y + 7 + y) \\ = 2 (2 y + 7) \\ = (4 y + 14) \end{matrix}$

Therefore, the perimeter of the rectangle is $(4 y + 14)$ and base is $(y + 7)$

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The area of a rectangle is $(y^{2} + 7 y)$ and height $(y)$ . What is the perimeter and base of the rectangle?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept Used.

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

One App. One Place for Learning.

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The area of a rectangle is(y2+7y)and height(y). What is the perimeter and base of the rectangle?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept Used.

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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Pure Maths

Logic and Functions

Theoretical and Mathematical Physics

Calculus

Decision Maths

Study anywhere. Anytime. Across all devices.

The area of a rectangle is $(y^{2} + 7 y)$ and height $(y)$ . What is the perimeter and base of the rectangle?