Question

A rectangle has sides measuring (6x + 4) units and (2x + 11) units.

Answer 1

A rectangle has sides measuring (6x + 4) units and (2x + 11) units.

Area of the rectangle =$12x^2+74x+44$

Degree is 2 and it is a trinomial

To find out the area we multiplied two binomials . It demonstrate the closure property

Given :

A rectangle has sides measuring (6x + 4) units and (2x + 11) units.

Area of the rectangle is length times width

length is 6x+4  and width is 2x+11

We multiply it to find the area

$Area =(6x+4)(2x+11)\\Area = 6x\cdot \:2x+6x\cdot \:11+4\cdot \:2x+4\cdot \:11\\combine \; like \; terms\\Area =12x^2+74x+44$

Expression for the area of the rectangle is $12x^2+74x+44$

Degree is the highest exponent

In that expression the highest exponent is 2 and it has three terms

Degree is 2   and it is a trinomial expression

Closure property says that if an operation produces another polynomial then the polynomial will be closed under operation

To find out the area we multiplied two binomials

$\left(6x+4\right)\left(2x+11\right)$

It demonstrate the closure property

Learn more : brainly.com/question/22811803