The area of a rectangle is 4y + 10.

a. represent the area of the rectangle in factored form.
b. use the factored form to give one possible set of dimensions for this rectangle.

A) The factored form of area of rectangle is 2(2y + 5)

B) length of rectangle is 2 and width is 2y + 5 and one possible set of dimensions of rectangle is length 2 and width 7

Solution:

Given that area of rectangle is 4y + 10

A. Represent the area of the rectangle in factored form

The factored form is a parenthesized algebraic expression.

Factored form is a product of sums of products or a sum of products of sums

Given area of rectangle is 4y + 10

Taking 2 as common,

4y + 10 = 2(2y + 5)

Therefore, the factored form of given area of rectangle is 2(2y + 5)

B. Use the factored form to give one possible set of dimensions for this rectangle

The area of a rectangle is given by the formula:

area of rectangle = length x width

Therefore, area of rectangle = 2(2y + 5)

So the length of rectangle is 2 and width is 2y + 5

Or the length of rectangle is 2y + 5 and width is 2

If y = 1, then one possible set of dimensions of rectangle is:

length = 2 and width = 2(1) + 5 = 7

So one possible set of dimensions of rectangle is length 2 and width 7

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation: