Problem 1 :
The area of a square is 625 cm². Find the length of the sides.
Solution :
Given, the area of a square = 625 cm².
Area of square = a²
625 = a²
a = √625
a = 25 cm
So, side length is 25 cm.
Problem 2 :
The area of a rectangle is 600 cm². Find the width of the rectangle if the length is 40 cm.
Solution :
Area of a rectangle = 600 cm²
Length = 40 cm
The area of a rectangle = length × width
600 = 40 × width
Width = 600/40
Width = 15 cm
So, the width of rectangle is 15 cm.
Problem 3 :
The area of a triangle is 45 cm². Find the base of the triangle if the height is 9 cm.
Solution :
Area of a triangle = 45 cm².
Height = 9 cm
The area of a triangle = 1/2 × b × h
45 = 1/2 × b × 9
45 = 4.5 × b
b = 45/4.5
b = 10 cm
So, base of the triangle is 10 cm.
Problem 4 :
The area of the circle is 8π cm². Find the circumference of the circle.
Solution :
Given, the area of the circle = 8π cm²
Area of the circle = πr²
8π = πr²
r² = 8
r = 2.82 cm
Circumference of the circle = 2πr
C = 2π × 2.82
C = 17.70 cm
So, circumference of the circle is 17.70 cm.
Problem 5 :
The area of a square is 400 cm². Find the perimeter of the square.
Solution :
Area of a square = 400 cm²
400 = a²
a = √400
a = 20 cm
Perimeter of the square = 4a
= 4 × 20
= 80 cm
So, perimeter of the square is 80 cm.
Problem 6 :
The perimeter of a rectangle is 30 cm with the length being 8 cm. Find the area of the rectangle.
Solution :
Perimeter of a rectangle = 30 cm
Length = 8 cm
The perimeter of a rectangle = 2(l + w)
30 = 2(8 + w)
30 = 16 + 2w
2w = 30 - 16
2w = 14
w = 7 cm
The area of rectangle = length × width
= 8 × 7
= 56 cm²
So, the area of rectangle is 56 cm².
Problem 7 :
If a rectangle has area of 32 2/3 inch and a length of 14 inch, what is its width?
Solution :
Area of rectangle = 32 2/3 inch
Length = 14 inch
Area of rectangle = length × width
32 2/3 = 14 × width
98/3 = 14 × width
Width = 7/3 inch
So, the width of rectangle is 7/3 inch.
Problem 8 :
If a rectangle has area of 38 inch and a length of 4 ¾ inch, what is its width?
Solution :
Area of rectangle = 38 inch
Length = 4 ¾ inch
Area of rectangle = length × width
38 = 19/4 × width
Width = 38 / (19/4)
Width = 8 inch
So, the width of rectangle is 8 inch.
May 21, 24 08:51 PM
May 21, 24 08:51 AM
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