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The length of a rectangle is 3 units greater than its width. Which expression would correctly represent the perimeter of the rectangle?

A. 2W+2[W+3]

B. W+W+3

C. W[W+3]

D. 2W+2[3W]

Answer Explanation:

Let width of the rectangle be W. We are told that length, L is 3 units greater than width. Then,

L=W+3

And perimeter of the rectangle is given by the relation, P=2(L+W]=2L+2W

In place of L substitute W+3. Thus,

P=2[W+3]+2W

Therefore, the Correct Answer is A.

Q #1: Which of the following is 31% of 426?

A. 425.69

B. 132.06

C. 13.7

D. 0.07

Answer Explanation

First convert 31% to a decimal before working on the problem

31%=31/100=0.31

Thus, 31% of 426=0.31*426=132.06
Q #2: The length of a rectangle is 3 units greater than its width. Which expression would correctly represent the perimeter of the rectangle?

A. 2W+2[W+3]

B. W+W+3

C. W[W+3]

D. 2W+2[3W]

Answer Explanation

Let width of the rectangle be W. We are told that length, L is 3 units greater than width. Then,

L=W+3

And perimeter of the rectangle is given by the relation, P=2(L+W]=2L+2W

In place of L substitute W+3. Thus,

P=2[W+3]+2W
Q #3: Which of the following is the correct simplification of the expression below? 12 ÷ 3 * 4 - 1 + 23

A. 6

B. 21

C. 38

D. 23

Answer Explanation

Use the order of operations to solve the given equation. The acronym PEDMAS will help us to solve the given problem.

P- Parenthesis

E-Exponents

D-Divide

M-Multiply

A-Add

S-Subtract

From the given equation start with solving :-

12 ÷3 * 4 - 1 + 23

Next, carry out division 12÷3=4

4*4-1+23

Multiply is 4*4=16

16-1+23

Add or subtract can be conducted in any order. From left to right, we subtract followed by addition

Subtract 16-1=15

15+23

The last step is to add 15+23

15+23=38

Thus, the answer to the given equation is 38.

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