Answered

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What is the greatest area of a rectangle with a perimeter of 60cm? What is the length and width of this rectangle?

Sagot :

MrRoyal

The length and width of this rectangle are 15 cm respectively

How to determine the greatest area?

The perimeter is given as:

Perimeter, P = 60

The greatest area is calculated as:

Greatest = (P/4)^2

Substitute 60 for P

Greatest = (60/4)^2

Evaluate the quotient

Greatest = 15^2

Evaluate the exponent

Greatest = 225 square centimeters

Hence, the greatest area is 225 square centimeters

How to determine the length and width

We understand that the area is the greatest.

In such a scenario;

Length = Width

This means that:

Area =Length^2 =Width^2

So, we have:

Length^2 =Width^2 = 225

Take the square root

Length =Width = 15

Hence, the length and width of this rectangle are 15 cm respectively

Read more about areas at:

https://brainly.com/question/24487155

#SPJ1

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