WILL GIVE BRILLIANTIEST!
1 answer:
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Answer:
Length of original rectangle: 11 units.
Step-by-step explanation:
Let x represent width of the original rectangle.
We have been given that a rectangle has a length 6 more than it's width. S the length of the original rectangle would be .
We have been given that when the width is decreased by 2 and the length decreased by 4 the resulting has an area of 21 square units.
The width of new rectangle would be .
The length of new rectangle would be .
The area of new rectangle would be .
Now we will equate area of new rectangle with 21 and solve for x as:
Applying difference of squares, we will get:
Since width cannot be negative, so we will take positive square root of both sides.
Therefore, the width of original rectangle is 5 units.
Length of the original rectangle would be .
Therefore, the length of original rectangle is 11 units.
Therefore, area of the original rectangle is 55 square units.
Now we will find ratio of the original rectangle area to the new rectangle area as:
We know that perimeter of rectangle is two times the sum of length and width.
Therefore, the perimeter of the new rectangle is 20 units.
1.
An expression of the form
is called a "compound fraction"
Compound fractions can be written as simple fractions by multiplying c to a, and then adding the product to c as follows:
for example,
can be written as:
2.
when we subtract or add a fraction
from an integer k,
we first write k as a fraction with denominator n. We can do this as follows:
for example, if we want to subtract
from 8,
we first write 8 as a fraction with denominator 2:
3.
Thus,
4.
The simple fraction 7/2 is not an option, so we write it as a compound fraction as follows:
(So write 7 as the sum of the largest multiple of 2, smaller than 7 + what is left. In our case these numbers are 6 and 1, then proceed as shown)
5. Answer: D
An expression of the form
Compound fractions can be written as simple fractions by multiplying c to a, and then adding the product to c as follows:
for example,
2.
when we subtract or add a fraction
we first write k as a fraction with denominator n. We can do this as follows:
for example, if we want to subtract
we first write 8 as a fraction with denominator 2:
3.
Thus,
4.
The simple fraction 7/2 is not an option, so we write it as a compound fraction as follows:
(So write 7 as the sum of the largest multiple of 2, smaller than 7 + what is left. In our case these numbers are 6 and 1, then proceed as shown)
5. Answer: D