I apologize, but we would need the chart included below the questions to be able to answer this.
<h3><u>Given</u><u>:</u><u>-</u></h3>
- Perimeter of parallelogram = 66 ft
<h3><u>To</u><u> </u><u>find</u><u> </u><u>out</u><u>:</u><u>-</u></h3>
Find the longest side of a parallelogram.
<h3><u>Formula</u><u> </u><u>used</u><u>:</u><u>-</u></h3>
Perimeter of parallelogram = 2 ( a + b )
<h3>
<u>Solution:-</u><u> </u></h3>
We know that,
Perimeter of parallelogram = 2 ( a + b )
★ Substituting the values in the above formula,we get:
⇒ 66 = 2 ( 3x + 1 + 2x - 3 )
⇒ 66 = 2 ( 5x - 2 )
⇒ 66/2 = 5x - 2
⇒ 33 = 5x - 2
⇒ 5x - 2 = 33
⇒ 5x = 33 + 2
⇒ 5x = 35
⇒ x = 35/5
⇒ x = 7 ft
Now,
One side,a = 3x + 1
★ Putting the value of x
⇒ 3 × 7 + 1
⇒ 21 + 1
⇒ 22 ft
Other side,b = 2x - 3
★ Putting the value of x
⇒ 2 × 7 - 3
⇒ 14 - 3
⇒ 11 ft
Hence,the longest Side of given parallelogram is 22 ft ( 3x + 1 ) .
Answer:
y = mx + 1/2
Step-by-step explanation:
(x,y)
- Plot each point on a graph
- The line should go from the bottom left (-6,-10) to the top right (1,4)
- Count how many spaces are on the y-axis from -6 to 1 for numerator
- Count how many spaces are on the x-axis from -10 to 4 for denominator
- Positive slope
- Slope = 7/14
- Simplify to 1/2
Answer:
Area of the rectangle = 95 cm²
Step-by-step explanation:
Perimeter of the rectangle = Sum of the measures of the sides of the rectangle
From the figure attached,
Perimeter of the rectangle = 2[(3x -1) + (2x + 3)]
39 = 2(5x + 2)
39 = 10x + 4
10x = 39 - 4
10x = 35
x = 3.5
Therefore, measure of the given sides will be,
Length = (3x - 1) cm
3x - 1 = (3×3.5) - 1
= 10.5 - 1
= 9.5 cm
Width = (2x + 3) cm
2x + 3 = (2×3.5) + 3
= 7 + 3
= 10 cm
Area of the rectangle = Length × width
= 9.5 × 10
= 95 cm²
Therefore, area of the rectangle is 95 cm².
Step-by-step explanation:
(4,8+8,9+14,19+20)/4=11,9725
