Length of a rectangle is 12cm and it's breadth is 8cm. If the side of a square is half of the length of the rectangle, then find area of both rectangle and square.
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Answered by
1
Explanation:
area of rectangle = length x breadth
12 x 8
96 cm square
if one side of square = half the length of rectangle
side = 12/2
6 cm
area of square = side x side
6x6
36 cm square
pls tell if it satisfied with this answer
Answered by
149
Given :-
- Shape = Square and Rectangle
- Length of the Rectangle = 12cm
- Breadth of the Rectangle = 8cm
- The side of a square is half of the length of the rectangle.
To Find :-
- Area of Rectangle and Square
Solution :-
In this question it is given that, The side of a square is half of the length of the rectangle.
According to the Situation :
➞ Side of Square = Length ÷ 2
➞ Side of Square = 12 ÷ 2
➞ Side of Square = 6cm
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Applying Area of Square :
➞ Area of Square = (Side)²
➞ Area of Square = side × side
➞ Area of Square = 6 × 6
➞ Area of Square = 36cm²
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Applying Area of Rectangle :
➞ Area of Rectangle = Length × Breadth
➞ Area of Rectangle = 12 × 8
➞ Area of Rectangle = 96cm²
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Therefore, Area of Square = 36cm² and Area of Rectangle = 96cm²
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★ Additional Info :
Formulas Related to Rectangle :
- Perimeter of Rectangle = 2( l + b)
- Area = Length × Breadth
- Length = Area / Breadth
- Breadth = Area / Length
- Diagonal = √(l)² + (b)²
Formulas Related to Square :
- Perimeter = 4 × Side
- Area = Side × Side
- Side of Square = √Area
- Diagonal = √2 × Side
- Area = ½ × (Diagonal)²
- Area = (Perimeter ÷ 4)²
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