A wire is in the shape of rectangle with dimensions 22 cm x 16 cm is the same wire is revent in the shape of a square what will be the measure of each side of a square?
Answers
Step-by-step explanation:
A wire is in the shape of a rectangle. Its length is 40 cm and breadth is 22 cm. If the same wire is rebent in the shape of a square, what will be the measure of each side. Also find which shape encloses more area?
Solution:
Length of the rectangle = 40 cm
Breadth of the rectangle = 22 cm
Since same length of wire is used to form a rectangle and square, we can say that,
perimeter of square = perimeter of rectangle
4 × Side = 2 (Length + Breadth)
4 × Side = 2 (40 + 22)
4 × Side = 2 × 62
4 × Side = 124
Side = 124/4
Side of square = 31 cm
Area of square = side × side
= 31 cm × 31 cm
= 961 cm2
Area of rectangle = Length × Breadth
= 40 cm × 22 cm
= 880 cm2
Answer:
A wire is in the shape of a rectangle with dimensions 22 cm x 16 cm is the same wire is relevant in the shape of a square. So, the measure of each side of a square = 19 cm.
Step-by-step explanation:
Given: Length of rectangle = 22 cm
Breadth of rectangle = 16 cm
Find: The measure of each side of a square.
Formula: Perimeter of rectangle = 2(Length + breadth)
The Perimeter of square = 4 (side)
Step 1: Perimeter of rectangle = 2(Length + breadth)
Perimeter of rectangle = 2 (22 + 16)
= 2 (38)
= 76 cm
So, Perimeter of rectangle is 76 cm
Step 2:
As per given condition
Perimeter of rectangle = Perimeter of square
4 (side) = 76
side = 76 ÷ 4
side = 19 cm
So, the measure of each side of a square = 19 cm.