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adelina 88 [10]
2 years ago
5

Write a simplified polynomial expression in standard form to represent the area of the rectangle below.

Mathematics
2 answers:
netineya [11]2 years ago
5 0

Answer:

A simplified polynomial expression in standard form to represent the area of the rectangle below is:

2x^2+6x-20

Step-by-step explanation:

We are given a rectangular figure such that the length of one side is given as: 2x-4

while the other side is labelled as: x+4.

Let us assume that the length of rectangle(l)= 2x-4

and width or breadth of rectangle(b)=x+5

We know that the area of rectangle(A) is given as:

A=l×b.

A=(2x-4)×(x+5)

A=2x(x+5)-4(x+5)

A=2x^2+10x-4x-20

A=2x^2+6x-20.

Hence, the polynomial expression for the area of rectangle is a polynomial of degree 2 and is given by:

2x^2+6x-20

enyata [817]2 years ago
3 0
A = w × l
A = (2x - 4) (x + 5)
Next Step Foil
2x² + 10x - 4x -20
2x² + 6x - 20
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