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3. (06.01, 06.04 mc) a rectangle has sides measuring (4x 5) units and (3x 10) units. part a: what is the expression that represents the area of the rectangle? show your work. (4 points) part b: what are the degree and classification of the expression obtained in part a? (3 points) part c: what is the expression that represents the perimeter of the rectangle? show your work. (4 points)?



Answer :

The expression for area of a rectangle is A = 12x² + 55x + 50, the equation is second degree and the expression for perimeter is P = 14x + 30.

What is an expression?

If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.

The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. In order to include terms into an expression, a mathematical operation like reduction, addition, multiplication, or division is used.

As per the given information in the question,

Let the length of rectangle, l = (4x + 5) and,

The width of rectangle, w = (3x + 10)

a.

Use the formula of area of rectangle,

A = wl

A = (3x + 10)(4x +5)

So, the expression will be,

A = 12x² + 55x + 50

b.

The degree of the equation for area is second degree.

c.

Use the formula of perimeter of rectangle,

P = 2(l + w)

P = 2(4x +5 + 3x + 10)

P = 2(7x + 15)

Then, the expression of perimeter will be,

P = 14x + 30

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