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Eduardwww [97]
3 years ago
8

Consider the perimeter of a rectangle being 68 cm and the width being 4 less than the length. Write a linear relation in terms o

f the length. What is the length and the width?
Mathematics
1 answer:
MrMuchimi3 years ago
8 0

Answer:

legth is vetry large sea and width is north america

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The length of a rectangle is 3 m more than twice the width, and the area of the rectangle is 54 mº. Find the dimensions of the r
zhenek [66]

Answer:

  • The dimensions of rectangle are 12 m and 4.5 m

Step-by-step explanation:

Given that, The length of a rectangle is 3 m more than twice the width, and the area of the rectangle is 54 m²

Let's assume width of rectangle be x m and length be 3 + 2x m respectively. To find the dimensions of the rectangle we will use the formula of Perimeter of rectangle

\\  { \underline{ \boxed{ \pmb{ \sf{ \purple{Area _{(rectangle)} = Length  × width}}}}}} \\ \\

Substituting values in above formula:

\\ \dashrightarrow \sf \: \:  (3 + 2x)(x)  = 54  \\

\dashrightarrow \sf \: \: 3x +  2x^2 = 54 \\

\dashrightarrow \sf \: \: - 54 + 3x + 2x^2 = 0 \\

\dashrightarrow \sf \: \: 2x^2 + 3x - 54 = 0\\

\dashrightarrow \sf \: \: 2x^2 + 12x - 9x - 54 = 0\:

\dashrightarrow \sf \: \: 2x(x + 6)  -9(x + 6) = 0\\

\dashrightarrow \sf \: \: (2x -9)(x+6) = 0  \\

\sf{x=}{\sf{\dfrac{9}{2}}}{\sf{\: or\: -6}}

\dashrightarrow  \:  \: { \underline{ \boxed{ \pmb{ \sf{\purple{ x = 4.5 }}}}}}

Hence,

  • Length of rectangle = 3 + 2x = 3 + 2(4.5) = 12 m
  • Width of the rectangle = x = 4.5m

\\ { \underline{  \pmb{ \frak{ \therefore Length \:  and \:  width  \: of  \: the  \: rectangle  \: is \:12 \: m \: and \:  4.5 \: m}}}} \\

5 0
2 years ago
Read 2 more answers
| 1:3=4:<br> How do I awnser this
Dennis_Churaev [7]

Answer: 1/3=4

⅓-4= 1/3-4/3

=3

4 0
3 years ago
50% of the number is 2,<br> the number is ??
Anastasy [175]

Answer:

4

Step-by-step explanation:

just multiply it by 2 lol

8 0
3 years ago
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At 1 P.M., there were 16 seagulls on the beach. At 3 P.M., there were 40 seagulls. What is the constant rate of change?
Zolol [24]
From 1 PM to 3 PM there are 2 hours in between

The number of seagulls has increased by 40 - 16 = 24 during the two hours.

The number of increase PER hour is 24 ÷ 2 = 12 seagulls per hour
3 0
3 years ago
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Which expression is equivalent to 3(4y)<br> I WILL MARK BRAINLIEST
Anastaziya [24]

Answer:

Step-by-step explanation:

Well 12y is the most obvious answer.

Anything that makes 12 is good enough.

4(3y) is another answer

12(y)

1(12y)

6(2y)

2(6y

7 0
3 years ago
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