Anna wants to purchase advertising space in the school newspaper. Each square inch of advertisement space sells for $3.00. She wants to purchase a rectangular space with length and width in the ratio 3:2 and she has up to $50.00 to spend. What are the dimensions of the largest advertisement she can afford to purchase? (please explain how you got the answer and show me some work!!)

The largest advertisement she can afford has dimensions of 5 in x 10/3 in

Step-by-step explanation:

Assume the dimensions of the advertisement are L and W.

The area of the advertisement is:

A = L.W

The ratio length/width is 3:2, thus the proportion is:

Thus:

The area is:

Since the square inch of advertisement space sells for $3, the cost for Anna to purchase it is:

Simplifying:

This cost can be a maximum of $50, thus:

Multiplying by 2:

Solving for W:

And

L = 5

Thus the largest advertisement she can afford has dimensions of 5 in x 10/3 in

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step-by-step explanation:

sss (side, side, side)

sas (side, angle, side)

asa (angle, side, angle)

aas (angle, angle, side)

hl (hypotenuse, leg)