<h3><u>Solution</u></h3>
<u>Given </u><u>:</u><u>-</u>
- Perimeter of rectangle = 72 cm
- The length is 3 more than twice the width.
<u>F</u><u>i</u><u>n</u><u>d</u><u> </u><u>:</u><u>-</u>
<h3 /><h3>
<u>Explantion</u></h3>
<u>Using </u><u>Formula</u>

<u>Let,</u>
- Length of Rectangle = x cm
- Breadth of Rectangle = y cm
<u>According</u><u> to</u><u> question</u><u>,</u>
==> perimeter of Rectangle = 72
==> 2(x+y) = 72
==> x + y = 72/2
==> x + y = 36_________________(1)
<u>Again,</u>
==> x = 2y + 3
==> x - 2y = 3__________________(2)
<u>Subtract</u><u> </u><u>equ(</u><u>1</u><u>)</u><u> </u><u>&</u><u> </u><u>equ(</u><u>2</u><u>)</u>
==> y + 2y = 36 - 3
==> 3y = 33
==> y = 33/3
==> y = 11
<u>keep </u><u>in </u><u>equ(</u><u>1</u><u>)</u>
==> x - 2×11 = 3
==> x = 3 + 22
==> x = 25
<h3><u>Hence</u></h3>
- <u>Length</u><u> of</u><u> </u><u>Rectangle</u><u> </u><u>=</u><u> </u><u>2</u><u>5</u><u> </u><u>cm</u>
- <u>Width </u><u>of </u><u>Rectangle</u><u> </u><u>=</u><u> </u><u>1</u><u>1</u><u> </u><u>cm</u>
<h3>
<u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u></h3>
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Answer:
Larger number(x)=20
Step-by-step explanation:
They're saying that the larger number 3 times is EQUAL(the same) to 4 times the smaller number.
The smallest number=35-x.
The larger number= x.
3 times the larger number=3x
4 times the smaller number=4(35-x)
Now, input it into an equation and solve:
3x=4(35-x) Distribute by multiplying 4 with 35 and x.
3x+4x=140-4x+4x Get 140 by itself by adding 4x.
7x/7=140/7 Divide.
x=20
Since x= the larger number, x=20.
Answer:
24 + 40 = 8*(3 + 5)
Step-by-step explanation:
The factors of:
24: 1, 2, 3, 4, 6, 8, 12, 14
40: 1, 2, 4, 5, 8, 10, 20, 40
the prime factors:
24: 2 * 2 * 2 * 3
40: 2 * 2 * 2 * 5
The most shared factors are (2*2*2=8)
Factoring out 8 we have:
24 + 40 = 8*(3 + 5)