Home
Class 14
MATHS
The area of the square field is 196 sq.m...

The area of the square field is 196 sq.m. Its each side is:

A

16 m

B

17 m

C

14 m

D

13 m

Text Solution

AI Generated Solution

The correct Answer is:
To find the length of each side of a square field given its area, we can follow these steps: ### Step 1: Understand the formula for the area of a square. The area \( A \) of a square is given by the formula: \[ A = \text{side}^2 \] where "side" is the length of one side of the square. ### Step 2: Set up the equation using the given area. We are given that the area of the square field is 196 sq.m. Therefore, we can set up the equation: \[ \text{side}^2 = 196 \] ### Step 3: Solve for the side length. To find the length of each side, we take the square root of both sides: \[ \text{side} = \sqrt{196} \] ### Step 4: Calculate the square root. Now we need to calculate \( \sqrt{196} \). The square root of 196 is: \[ \sqrt{196} = 14 \] ### Step 5: State the final answer. Thus, the length of each side of the square field is: \[ \text{side} = 14 \text{ meters} \] ### Summary The side length of the square field is 14 meters. ---
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the area of a square field if its each side is 10 3/4 m long.

The perimeter of a circular field & a square field are same. If area of the square field is 12100 m^2 . What is area of circular field?

The area of a square field is 100m^(2) then find its side

If the area of a square field is 169m^(2) ,its perimeter in cm

A square lawn has a path 2m wide around it. The area of the path is 196 sq. m. Find the length of the side of the lawn.

Find the area of a square field whose each side is (13)/(2) metres

The area of a square field is 5184m^(2).A rectangular field,whose length is twice its breadth has its breadth has its permeter equal to the perimeter of the square field.Find the area of the rectangular field.

The side of a square exceeds the side of the another square by 4cm and the sum of the areas of the two squares is 400 sq.cm. Find the dimensions of the squares.