Question

A pond is in shape of a square.There is a 3m wide pavement all arond the pond.If area of pavement is 288 square meter find area of pond

Answer 1

Answer:

If area of pavement is 288 square meter find area of pond is 441m^2.

Step-by-step explanation:

Step 1: In geometry, a square is a flat shape having four equal sides and four right angles (90°). A square is an unique sort of parallelogram as well as an equilateral rectangle (an equilateral and equiangular one).

Step 2: A square is a four-sided polygon whose opposite sides are parallel to one another and all of its sides have the same length. Additionally, the angle at each of the square's vertices is 90 degrees.

Step 3: Side of the Pond=x

side of the pavement =x+6

Area of Pavement =

(x +6)^2-x^2 =288

x ^2 +12x +36-x^2 = 288

12x +36=288

12x=252

x = 21m

AREA of POND=x^2 = 21^2 = 441m^2

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Answer 2

The area of the pond is 441 m².

• An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C.
• Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

Here, according to the given information, we are given that,

A pond is given that is in the form of a square and the pond also contains a 3m wide pavement all around it.

Now, let one side of the pond be x metres.

We are also given that, there is a 3 m. wide pavement all around the pond.

Then, the length of the side of the pavement will be $(x+6)$ m.

Now, we are also given that the area of the pavement is equal to 288 m².

Now, area of the square pond = $x^{2}$

Then, we have,

$(x+6)^{2} -x^{2} =288$

Or, $12x+36=288$

Or, $12x = 252$

Or, $x = 21$ m.

Then, the area of the pond is $x^{2} =441$$m^{2}$.

Hence, the area of the pond is 441 m².

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