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Chapter 11: Q27. (page 427)

A path2mwide surroundings a rectangular garden 20mlong and 12mwide. Find the area of the path.

Short Answer

Expert verified

The area of the path is 144m2.

Step by step solution

01

Step 1. Given information.

Length of the garden=20m

Width of the garden =12m

Width of the path=2m

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 isA=b脳h

03

Step 3. Let’s calculate the area of the path.

In鈻�PQRSwhere,

Length=(20+2+2)=24m

Width=(12+2+2)=16m

Put the value of length and width into the formula and find the area.

Area of the鈻�PQRS:A1=24脳16=384m2

Now,鈻�ABCD

Inwhere,

Length=20m

Width=12m

Put the value of length and width into the formula and find the area.

Area of the鈻�ABCD:

A2=20脳12=240m2

Now,

The area of the path = Area of the rectangle PQRS-Area of the rectangle ABCD

A=(384鈭�240)=144cm2

Therefore, the area of the path is144cm2.

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Most popular questions from this chapter

Find the area of each figure:

An isosceles right triangle with hypotenuse 8

a. Use the diagram at the right. Find the area of鈻�PQRS.

b. Use the diagram at the right. Find the area of鈻�PSR.

c. Use the diagram at the right. Find the area of鈻�OSR. (Hint: Refer to鈻�PSR and use Exercise28).

d. Use the diagram at the right. What is the area of鈻�PSO?

e. Use the diagram at the right. What must the area of鈻�POQbe? Why? What must the area of鈻�OQR be?

f. Use the diagram at the right. State what you have shown in parts (a)-(e) about how the diagonals of a parallelogram divide the parallelogram.

The base of a rectangle is(x)and area(x2鈭�3x). What is the area and perimeter of the rectangle?

Find the area of each figure:

Find the areas of鈻�ABC,鈻�DBCand鈻�EBC.
See all solutions

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