Geometry

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

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 11: Q11. (page 426)

The base of a rectangle is 16cmand perimeter is42cm. What is the area and height of the rectangle?

Short Answer

Expert verified

The area of the rectangle is $80 c m^{2}$ and height is5cm .

Step by step solution

Step 1. Given information.

Base of the rectangle $b = 16 c m$

Perimeter of the rectangle $P = 42 c m$ .

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 $A = b 脳 h$

Perimeter of the rectangle is

$P = 2 (b + h)$

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

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

Height of the rectangle :

$\begin{matrix} P = 2 (b + h) \\ 42 = 2 (16 + h) \\ 21 = 16 + h \\ h = 21 鈭� 16 \\ h = 5 c m \end{matrix}$

Area of the rectangle:

$\begin{matrix} A = b 脳 h \\ = 16 脳 5 \\ = 80 c m^{2} \end{matrix}$

Therefore, the area of the rectangle is $80 c m^{2}$ and height is 5cm

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91影视

The base of a rectangle is 16cmand perimeter is42cm. What is the area and height of the rectangle?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept Used.

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

One App. One Place for Learning.

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