Question

A square of dimension has numerically the same perimeter and area (a) 8 units (b) 6 units () 3 units (d) 2 units​.

Answer 1

Correct Question:

A square has numerically the same perimeter and area. The square has the dimension of its side equal to (a) 8 units (b) 6 units () 3 units (d) 4 units​

Final Answer:

A square that has numerically the same perimeter and area, has the side equal to 4 units. So, the correct option for the dimension of the side of the square is d.

Given:

A square has numerically the same perimeter and area.

The options for the dimension of the side of the square are (a) 8 units (b) 6 units () 3 units

To Find:

The dimension of its side of the square that has numerically the same perimeter and area and the corresponding option.

Explanation:

Note the following important points for any square.

• The dimension of every side of the square is equal to each other.
• The perimeter of the square is $=4\times (side)\; unit$
• The area of the square is $={(side)}^2\; unit^2$

Step 1 of 2

Assume that the dimension of each side of the square is equal to $x\;unit$.

So, the perimeter of the square is $=4x\; unit$

Also, the area of the square is $=x^2\; unit^2$

Step 2 of 2

Abiding by the given conditions in the problem, write the following equation and solve for it.

$4x=x^2\\x^2-4x=0\\x(x-4)=0\\x=0,4$

Since the length of the side cannot be equal to zero, evidently, the dimension of each side of the square is 4 units.

Therefore, the square having numerically the same perimeter and area, has the side equal to 4 units. So, the correct option for the dimension of the side of the square is d.

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Answer 2

Answer:

the answer to this question will be 4 I.e none of these

Step-by-step explanation:

if side = 4 then perimeter = side × 4 = 4×4 = 16

if side = 4 then area = side× side = 4×4 = 16

thus , 16=16