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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset Vaia Explanations$ Math

Student Edition · 227 pages

ISBN: 9780395977279

Chapter 11: Q9. (page 426)

The base of a rectangle is9cmand height 4cm. What is the area?

Short Answer

Expert verified

The area of the rectangle is $36 c m^{2}$ and perimeter is26cm .

Step by step solution

01

Step 1. Given information.

Base of the rectangle $b = 9 c m$

Height of the rectangle $h = 4 c m$ .

02

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

$P = 2 (b + h)$

03

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 :

$\begin{matrix} A = 9 \times 4 \\ = 36 c m^{2} \end{matrix}$

Perimeter of the rectangle: $\begin{matrix} P = 2 (9 + 4) \\ = 2 (13) \\ = 26 c m \end{matrix}$

Therefore, the area of the rectangle is $36 c m^{2}$ and perimeter is 26cm

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Most popular questions from this chapter

The base of a triangle is 1cm longer than its altitude. If the area of the triangle is $210 c m^{2}$ , how long is the altitude ?

$\bar{F G}$ is the altitude to the hypotenuse of $△ D E F$ . Name three similar triangles and find their areas. (Hint: See Theorem $8 - 1$ and Corollary 1on pages). $285 - 286$

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