Alani is in charge of marketing for a travel company. She is designing a brochure that will have 6 photos. Suppose the dimensions of the narrower photos were increased to 2 in. by x in. What expression would represent the new arrangement based on the GCF?

Complete Question

Alani is in charge of marketing for a travel company. She is designing a brochure that will have 6 photos.

There are two main photos each of length x cm.

There are 4 long pictures each of 1 inch by x cm.

(a)Find the total area of the photos

(b)Find a rectangular arrangement of the photos and determine the factoring that represents this arrangement.

(c)Suppose the dimensions of the narrower photos were increased to 2 in. by x in. What expression would represent the new arrangement based on the GCF?

(a)

(b)2x(x+2)

(c)

Step-by-step explanation:

(a)Area of the Photos

Total Area =2(Area of Main Photos)+4(Area of Long Pictures)

(b)If we arrange the six photos in a rectangular array

We would have a photo of:

Height = x

Width =x+x+4 =2x+4

Therefore:

Area =x(2x+4)

We can factorize further to obtain:

Area =2x(x+2) sq. in.

(c)If the dimensions of the narrower photos were increased to 2 in. by x in.

Total Area =2(Area of Main Photos)+4(Area of Long Pictures)

The expression that would represent the new arrangement based on the GCF is: 2x(x+4)

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.