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erma4kov [3.2K]
3 years ago
5

Two opposite sides of a rectangle are each of length x. If the perimeter of the rectangle is 12, then the area, as a function of

x, is
x(12 – x)
x(6 – x)
(6 – x) 2
x(12 – 2x)
Mathematics
2 answers:
Reil [10]3 years ago
7 0

Answer: x(6-x)

Step-by-step explanation:

Given : Two opposite sides of a rectangle are each of length x.

Let the other adjacent side be y.

The perimeter of the rectangle is 12 units.

Perimeter of rectangle is given by :-

P=2(\text{Sum of adjacent sides})\\\\\Rightarrow\ 12=2(x+y)\\\\\Rightarrow\ x+y=\dfrac{12}{2}=6\\\\\Rightarriow\ y=6-x

The area of rectangle is given by :-

A=\text{product of two adjacent sides}\\\\\Rightarrow\ A=xy=x(6-x)

Hence, the area as a function x = x(6-x)

IgorLugansk [536]3 years ago
3 0

Answer:

option B

Step-by-step explanation:

given,

two opposite side of rectangle of each length = x

perimeter of the rectangle = 12

let the unknown sides be y

perimeter of the rectangle

          2 x + 2 y = 12

                    y = 6 -x

hence, we know area of the triangle will be  (length × breadth)

                   = x × y

                   = x × ( 6 - x )

so, area of rectangle will be x(6-x) correct answer will be option B

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