Aunit square and a rectangle have the same perimeter. what is the length of the rectangle if its area is 75% of the square's area?

Length of the rectangle is either 0.5 units or 1.5 units.

Step-by-step explanation:

Given:

Perimeter of a unit square is equal to the perimeter of a rectangle.

Area of rectangle is 75 % of the square's area.

Unit square means a square of side length 1 unit.

So, perimeter of a unit square,, is sum of all the 4 sides and is equal to:

Therefore, perimeter of the rectangle is, units.

Now, perimeter of rectangle of length and width is given as:

Therefore,

--------1

Again, area of a unit square is 1 square units.

So, area of rectangle 0.75 of 1 which is 0.75 square units.

Or, --------2

Plug in in equation 1, we get

Therefore, the length of the rectangle is 0.5 units or 1.5 units.

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step-by-step explanation: