You are given a rectangle. Its thin.
Surface Area = 40 mm^2
Perimeter = 28 mm
What are the dimensions of the rectangle (the length and width)?
Please show the steps and the length and width as separate steps please.
Answers
Answer:
Step-by-step explanation:
Surface Area = 40 mm^2
Perimeter = 28 mm
Since it is a rectangle, we know that the perimeter is made up of 4 numbers, 2 pairs of 2. And once you add up the numbers, they make 28.
And the area of the rectangle is 40 mm^2, which means that the length and width of the two numbers make a product of 40.
Let's start by listing the factor pairs of 40:
(1, 40), (2, 20), (4, 10) and (5, 8)
Then we should cross out all the numbers that don't add up to 28 when multiplied by two.
40 x 2 = 80
1 x 2 = 2
80 + 2 = 82
82 does not equal 28
1 times 40 is not the answer.
20 x 2 = 40
2 x 2 = 4
40 + 4 = 44
44 Does not equal 28
20 times 2 is not the answer
10 x 2 = 20
4 x 2 = 8
20 + 8 = 28
28 = 28
4 times 10 is the answer
Since we know 4 by 10 (or 10 by 4) is the answer, we don't have to do 5 by 8.
SO
length = 10
width = 4
OR
length = 4
width = 10
There isn't enough information to differentiate :0