Chapter 11: Q13. (page 431)

Find the area of each figure:
A parallelogram with $45^{\circ}$ angle and sides 6and 10

Short Answer

Expert verified

The area of given figure is $30 \sqrt{2}$ square units.

Step by step solution

Step 1. Given information.

The sides of parallelogram are 6 and 10.

Angle is $45^{\circ}$

Step 2. Find height of Parallelogram.

In triangle $A E D$

$s i n 45^{\circ} = \frac{h}{6}$

$\frac{1}{\sqrt{2}} = \frac{h}{6}$

" width="9" height="19" role="math">h=32

Step 3. Find the area of given figure.

Since the area of parallelogram can be found using the formula

$A = b h$

$A = 10 \times 3 \sqrt{2}$

$= 30 \sqrt{2}$ Square units.

Therefore, the area of given figure is $30 \sqrt{2}$ square units.

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Find the area of each figure:
A parallelogram with $45^{\circ}$ angle and sides 6and 10

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find height of Parallelogram.

Step 3. Find the area of given figure.

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Find the area of each figure:A parallelogram with45∘angle and sides 6and 10

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find height of Parallelogram.

Step 3. Find the area of given figure.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Calculus

Discrete Mathematics

Mechanics Maths

Probability and Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Find the area of each figure:
A parallelogram with $45^{\circ}$ angle and sides 6and 10