Hi again!
The correct answer is option A
See picture below for the details.
Let me know if you have any questions about the answer!
P=2l+2w
120=2(2w)+(2w
120=4w+2w
120=6w
w=20
120=2(20)+2(l)
120=40+2l
80=2l
l=40
Length is 40 and width is 20 feet
hope this helps:)
Step-by-step explanation:
<h3><u>Given</u><u>:</u><u>-</u></h3>
(√3+√2)/(√3-√2)
<h3><u>To </u><u>find</u><u>:</u><u>-</u></h3>
<u>Rationalised</u><u> form</u><u> </u><u>=</u><u> </u><u>?</u>
<h3><u>Solution</u><u>:</u><u>-</u></h3>
We have,
(√3+√2)/(√3-√2)
The denominator = √3-√2
The Rationalising factor of √3-√2 is √3+√2
On Rationalising the denominator then
=>[(√3+√2)/(√3-√2)]×[(√3+√2)/(√3+√2)]
=>[(√3+√2)(√3+√2)]×[(√3-√2)(√3+√2)]
=>(√3+√2)²/[(√3-√2)(√3+√2)]
=> (√3+√2)²/[(√3)²-(√2)²]
Since (a+b)(a-b) = a²-b²
Where , a = √3 and b = √2
=> (√3+√2)²/(3-2)
=> (√3-√2)²/1
=> (√3+√2)²
=> (√3)²+2(√3)(√2)+(√2)²
Since , (a+b)² = a²+2ab+b²
Where , a = √3 and b = √2
=> 3+2√6+2
=> 5+2√6
<h3><u>Answer:-</u></h3>
The rationalised form of (√3+√2)/(√3-√2) is 3+2√6+2.
<h3>
<u>Used formulae:-</u></h3>
→ (a+b)² = a²+2ab+b²
→ (a-b)² = a²-2ab+b²
→ (a+b)(a-b) = a²-b²
→ The Rationalising factor of √a-√b is √a+√b
Converting this into an equation, we get:
6x+4y=14
-8x-4y=-12
We can solve this by adding the system of equations.
6x+4y=14
+ -8x-4y=-12
-------------------------
-2x=2
Simplifying, we get that x=-1. We can replug this into one of the equations to get y. We'll choose 6x+4y=14
Plugging in -1 for x, we get that:
6(-1)+4y=14
which is
-6+4y=14
which is
4y=20
Simplify this to get that y=5
To check, you can plug in x and y into both equations to make sure that they are true.
6(-1)+4(5)=14
-6+20=14
14=14 which is true
-8(-1)-4(5)=-12
8-20=-12
-12=-12 which is true
x=-1 and y=5
:)
The possible rectangle's length and width are A) 1 cm and 15 cm and C) 3 cm and 5 cm
<h3>How to determine the possible rectangle's length and width?</h3>
The given parameters are
Area = 15 square cm
The area is given as
Area = 15 square cm
The formula of area is
Area = Length x Width
Using the above formula, we have:
A) 1 cm and 15 cm ⇒ 15 square cm
B) 2 cm and 7 cm ⇒ 14 square cm
C) 3 cm and 5 cm ⇒ 15 square cm
D) 4 cm and 4 cm ⇒ 16 square cm
Hence, the possible rectangle's length and width are A) 1 cm and 15 cm and C) 3 cm and 5 cm
Read more about area at:
brainly.com/question/17335144
#SPJ1
<u>Possible question</u>
The area of a rectangle is 15 square cm
Which of the following could be the rectangle's length and width?
(Area = length x width)
Choose all answers that apply:
A) 1 cm and 15 cm
B) 2 cm and 7 cm
C) 3 cm and 5 cm
D) 4 cm and 4 cm