<h3>Required Answer:</h3>
Shorter side = 9 cm
<h3>Question:</h3>
The perimeter of a rectangule is 44cm. The area of the rectangle is 117cm2. Find the length of the shorter side of the rectangle.
<h3>Let:</h3>
- Length rectangle be a.
- Width of rectangle be b.
<h3>To find?</h3>
- Length of the shorter side of the rectangle.
<h3>Given:</h3>
- Perimeter of rectangle = 44cm
- Area of rectangle = 117cm²
<h3>Answer :</h3>
A/Q
Perimeter of rectangle = 44cm
We know:
p=2(L+B)
.°. ⇒44 =2(a+b)
⇒44 /2 =a+b
⇒22=a+b
So:
a=22-b
b=22-a
Now Let's put values in formula of Area
A/Q
Area of rectangle = 117cm²
We know:
Area =L×B
.°.117=ab
<u>Put</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>b</u><u> </u><u>in</u><u> </u><u>this</u><u> </u><u>equation</u><u> </u>
⇒117=a(22-a)
⇒117=22a-a²=0
⇒a-22a²+117=0
⇒(a- 9)(a- 13) = 0
.°. a=9
a=13cm
Let's put value of a as 13 to find b
⇒b=22-a
⇒b=22-13
⇒b=9cm
So the side having 9cm is shorter i.e. b
The first and 3rd one down are correct. <<<<===== answer.
Answer: sum of the first 12 terms is
158944
Step-by-step explanation:
In a geometric series, successive terms differ by a common ratio. The formula for the sum of n terms, Sn in a geometric sequence is expressed as
Sn = a(r^n - 1)/(r - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of the terms in the sequence.
From the information given, we want to determine S12, so
n = 12
a = 4
r = 10/4 = 25/10 = 2.5
S12 = 4(2.5^12 - 1)/(2.5 - 1)
S12 = 4(59605 - 1)/1.5
S12 = (4×59604)/1.5
S12 =238416/1.5 = 158944
Answer:
C
Step-by-step explanation:
It's 20.
Answer: x =168
Step-by-step explanation:I think it would be 80 plus 88 so its 168.