Pqrs is square in which PQ equal to 2.8 M find the area of unshaded th...
Radius of 2.8=1.4
^r2
22/7*1.4*1.4=43.12/7=6.16
area of square=2.8*2.8=7.84
7.84-6.16=1.68
Pqrs is square in which PQ equal to 2.8 M find the area of unshaded th...
Problem Statement:
Find the area of the unshaded region in the square PQRS, where PQ = 2.8 meters.
Solution:
To find the area of the unshaded region in the square PQRS, we need to calculate the area of the square and subtract the area of the shaded region.
Area of the Square:
The area of a square can be calculated by multiplying the length of one side by itself. In this case, the length of one side of the square is given as 2.8 meters.
Area of the square = (Side length)²
= (2.8 meters)²
= 2.8 meters × 2.8 meters
= 7.84 square meters
Area of the Shaded Region:
To calculate the area of the shaded region, we need to determine the side length of the shaded square.
The side length of the shaded square is the difference between the side length of the larger square and the side length of the unshaded square.
Side length of the shaded square = Side length of the larger square - Side length of the unshaded square
= 2.8 meters - 2.8 meters
= 0 meters
Since the side length of the shaded square is 0, the area of the shaded region is also 0 square meters.
Area of the Unshaded Region:
To find the area of the unshaded region, we subtract the area of the shaded region from the area of the square.
Area of the unshaded region = Area of the square - Area of the shaded region
= 7.84 square meters - 0 square meters
= 7.84 square meters
Therefore, the area of the unshaded region in the square PQRS is 7.84 square meters.
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