SOLUTION: Jolly builds a large corkboard for her room that is 45 inches tall and 63 inches wide .she wants to build a smaller corkboard with a similar shape for the kitchen. Which of the fol

Algebra ->  Proportions -> SOLUTION: Jolly builds a large corkboard for her room that is 45 inches tall and 63 inches wide .she wants to build a smaller corkboard with a similar shape for the kitchen. Which of the fol      Log On


   



Question 356831: Jolly builds a large corkboard for her room that is 45 inches tall and 63 inches wide .she wants to build a smaller corkboard with a similar shape for the kitchen. Which of the following could be the dimensions of that corkboard?
A 4 in by 3 in
B 7 in by 5 in
C 12 in by 5 in
D 21 in by 14 in

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Jolly builds a large corkboard for her room that is 45 inches tall and 63 inches wide .she wants to build a smaller corkboard with a similar shape for the kitchen. Which of the following could be the dimensions of that corkboard?
A 4 in by 3 in
B 7 in by 5 in
C 12 in by 5 in
D 21 in by 14 in
We try each one:

%28shorter_side_of_large_corkboard%29%2F%28longer_side_of_large_corkboard%29%22%22=%22%22%28shorter_side_of_small_corkboard%29%2F%28longer_side_of+_small_corkboard%29

Try A

45%2F63%22%22=%22%223%2F4

Cross multiply:

45%2A4%22%22=%22%223%2A63

180%22%22=%22%22189

No that's false, so A isn't the answer.

Try B

45%2F63%22%22=%22%225%2F7

Cross multiply:

45%2A7%22%22=%22%225%2A63

315%22%22=%22%22315

That's true, so B is the correct answer.  But let's go though the
others anyway to show that they are not the correct answer:

Try C

45%2F63%22%22=%22%225%2F12

Cross multiply:

45%2A12%22%22=%22%225%2A63

540%22%22=%22%22315

No that's false, so C isn't the answer.

Try D

45%2F63%22%22=%22%2214%2F21

Cross multiply:

45%2A21%22%22=%22%2214%2A63

945%22%22=%22%22882

No that's false, so D isn't the answer.

The correct answer is B

Edwin