How many rectangular cards that can be cut from the sheet? - ProProfs Discuss

# How many rectangular cards that can be cut from the sheet? Rectangular cards, 3 inches by 5 inches are cut from a rectangular sheet 3 feet by 5 feet.

A. 1
B. 12
C. 36
D. 72
E. 144

This question is part of Mathematics Practice 1 - For SAT I, SHSAT & HS Entrance
Asked by Haig, Last updated: Apr 15, 2019

### Request Answer   Share    ... Answer AnonymouslyAnswer Later Copy Link #### Billybobthortonwasherelol

Billybobthortonwasherelol

E, 144

So, we can think of this question as“how many small rectangles can fit into the larger one”. Thus, we are dealing with “area” and we need to convert one or the other into the same units of measure.

I will convert the big sheet into inches. We know that:

• 1 foot = 12 inches

3 ft (12 in)/(1 ft) = 36 inches

5 ft (12 in)/(1 ft) = 60 inches

1.) Therfore, 3 ft = 36 inches and 5 ft = 60 inches

2.) Now, let’s find the area of the big rectangle (sheet).

36 in 60 in = 2160 in^2

The area of the big rectangle is 2160 inches squared.

3.) We want to know how many small rectangles can fit into the big one, so now, we need tofind the area of the smaller rectangle too

3 in 5 in = 15 in^2

The area of the smaller rectangle is 15 inches squared.

4.) Now, we divide the big rectangle area by the small rectangle area. This will tell us how many small rectangles can fit into the big one.

2160 in^2 / 15 in^2 = 144

Our units cancel out perfectly. We can make 144 small cards.

Thank you for reading and I hope that this helps.

Sincerely,

The Real McKoy   Reply 12

Rectangular Cards= 3(5)= 15 inches per card

Sheet=3(5)= 15 FEET

15(12)/15=12   Reply #### John Smith

John Smith  Answered on Sep 13, 2016

144

Number of cards = [3(12) x 5(12)]/(3 x 5) 1 foot = 12 in = 12 x 12 = 144   Reply Search for Google images Select a recommended image
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