4.Area of square equal to area of Rectangle. If side of the square is 12cm.and length of the rectangle is 18cm.then find the breadth of the rectangle
Answers
Answer:
B=8
Step-by-step explanation:
area of square=a²
=12²
=144cm²
area of rectangle = l*b
18*b=144
b=144/18
b=8
HOPE IT HELPS....
Given:
✰ Area of square equal to area of rectangle.
✰ Length of one side of the square = 12 cm.
✰ Length of the rectangle = 18 cm
To find:
✠ The breadth of the rectangle.
Solution:
Let's understand the concept first!
- As we are provided with the length of one side of a square, so first will find area of square by using formula. Putting the values in the formula and then doing the required calculations.
- Then, we know that the area of a square is equal to the area of rectangle, so we will substitute the value of area of square in area of rectangle and as we are already provided with the length, so by using the formula of area of rectangle, we will find the breadth of a rectangle.
Let's find out...✧
✭ Area of a square = a² ✭
Where,
- a is the length of one side of the square.
Putting the values in the formula, we have:
⤳ Area of square = 12²
⤳ Area of square = 144 cm²
Area of a square = Area of a rectangle
∴ Area of a rectangle = 144 cm²
✭ Area of a rectangle = l × b ✭
Where
- l is the length of a rectangle.
- b is the breadth of a rectangle.
Putting the values in the formula, we have:
➤ 144 = 18 × b
➤ b = 144/18
➤ b = 16/2
➤ b = 8 cm
∴ The breadth of the rectangle = 8 cm
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