Question

Find a formula for the described function.

Answer 1

Answer:

The area of the rectangle is $A=5L-L^2$.

Step-by-step explanation:

The perimeter of a rectangle is

$P=2(L+W)$

where, L is length and W is width.

It is given that perimeter of a rectangle is 10m.

$10=2(L+W)$

Divide both sides by 2.

$5=L+W$

Subtract L from both sides.

$5-L=W$

Area of a rectangle is

$A=L\times W$

Substitute W=(5-L) in the above formula.

$A=L\times (5-L)$

$A=5L-L^2$

Therefore, the area of the rectangle is $A=5L-L^2$.