Question

A square with side 'x' units is inside a square with side 4 units, as shown in the figure. What is the area of the shaded region in terms of x.​

Answer 1

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Answer 2

Given :- A square with side ' X ' units is inside a square with side 4 units, as shown in the figure. What is the area of the shaded region in terms of ' X '. ?

Solution :-

we know that,

• Area of square = (side)² .

So,

→ Side of outside square = 4 units .

then,

→ Area of outside square = (4)² = 16 units² .

and,

→ Side of inside square = X units .

then,

→ Area of inside square = (X)² = X² units² .

therefore,

→ Area of shaded region = Area of outside square - Area of inside square = 16 - X² = (16 - X²) units². (Ans.)

Learn more :-

ABCD is a rhombus with A = 60° , BC = (3x+5)cm , CD =(6x-10)cm and AC =(3y-1)cm. Find

x and y.

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3.

In the fig, AB || CD,FIND x.(Hint:Prove that AOB-COD).

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