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Geometry Problems Worksheet

Geometry Problems Worksheet
  • Page 1
 1.  
Which of the given equations will give the area(A) of the rectangle, if the length = 12 cm and width = 5 cm?
a.
A = 12 + 5
b.
A = 12 × 6
c.
A = 12 × 5
d.
A = 12 ÷ 5


Solution:

A = L × W
[Formula for area(A) of a rectangle with length(L) and width(W).]

A = 12 × 5
[Substitute the values.]

So, the equation 'A = 12 × 5' gives the area of a rectangle.


Correct answer : (3)
 2.  
Which of the given equations represents the area (A) of the rectangle?


a.
A = 2(3 + 5)
b.
A - 3 = 5
c.
A = 3 × 5
d.
A = 3 × 4


Solution:

A = L × W
[Area of the rectangle with length(L) and width(W).]

From the figure, length(L) = 5 and width(W) = 3.

So, A = 3 × 5 gives the area of the rectangle.


Correct answer : (3)
 3.  
The side length of a square is 16 cm. Which of the given equations is used to find the perimeter(P)?
a.
P = 4 × 3 cm
b.
P = (16 - 4) cm
c.
P = 162 cm
d.
P = 4 × 16 cm


Solution:

Perimeter(P) of a square with side(a) is 4 × a.

Side of a square is 16 cm.

So, Perimeter(P) = 4 × 16 cm.


Correct answer : (4)
 4.  
The side of a square is 8 inches. Which equation gives the area(A) of the square?
a.
A = 8 + 8
b.
A = 4 × 8
c.
A = 8 × 8
d.
A = 2 × 8


Solution:

Area(A) of a square with side length a is a × a.

So, 'A = 8 × 8' gives the area of the square.
[Substitute a = 8.]


Correct answer : (3)
 5.  
The area(A) of a rectangle is 12 square inches and length of the rectangle is 3 inches. What is the width(W) of the rectangle?
a.
W = 12 ÷ 3
b.
W = 12 × 3
c.
W = 12 + 5
d.
W = 3 × A


Solution:

A = L × W
[Area of a rectangle with length(L) and width(W).]

12 = 3 × W
[Substitute the values.]

So, width of the rectangle is given by 'W = 12 ÷ 3'.


Correct answer : (1)
 6.  
Identify the that represents the area (A) of the rectangle ABCD.

a.
A = 6 × 3
b.
3 = A + 6
c.
A = 2(6) + 2(3)
d.
A - 2 = 6 + 3


Answer: (a)


Correct answer : (1)
 7.  
The side of a square is 8 inches. Which equation gives the perimeter (P) of the square?
a.
A = 4(8)
b.
A = 8 + 8
c.
A = (8)(8)
d.
A = 2(8)


Answer: (a)


Correct answer : (1)
 8.  
If length of a rectangle is 2 inches and its width is 3 inches, then what does the equation 2 × 3 = 6 represent?
a.
width
b.
length
c.
area
d.
perimeter


Answer: (c)


Correct answer : (3)
 9.  
Which of the given equations represents the area (A) of the square?


a.
A = 2(3)
b.
A = 4(3)
c.
A = 3 × 3
d.
A = 3 + 3 + 3


Answer: (c)


Correct answer : (3)
 10.  
The length of a rectangle is 7 inches and its width is 5 inches. Then, what is the perimeter (P) of the rectangle?
a.
P = 5 × 7
b.
P = 2(7 + 5)
c.
7 + 5 = P
d.
7 = 5 × P


Answer: (b)


Correct answer : (2)
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