All categories

2 years ago

A rectangle has a perimeter of 150 cm. The length is 3 cm more than twice the width. Find the length and width of the rectangle.

Mathematics

1 answer:

zepelin [54]2 years ago

3 0

Answer:

Length of rectangle = 51 cm

Width of rectangle = 24 cm

Step-by-step explanation:

Given:

Perimeter of rectangle = 150 cm

Find:

Length and width of the rectangle

Computation:

Assume;

Width of rectangle = a cm

Length of rectangle = 2a + 3 cm

Perimeter of rectangle = 2[l + b]

150 = 2[(2a + 3) + a]

2[3a + 3] = 150

6a + 6 = 150

6a = 144

a = 24

Width of rectangle = 24 cm

Length of rectangle = 2a + 3 cm

Length of rectangle = 2(24) + 3 cm

Length of rectangle = 51 cm

You might be interested in

Solve for x..........................

Lelechka [254]

Answer:

Step-by-step explanation:

If your talking about the x where it says 3x in, then

3x = 9

x = 3

4 0

2 years ago

What is the measure of BC?<br> Enter your answer in the box.<br> 65

Dafna11 [192]

answer : the BC is measure by 4, and also if you wanna add this the AB is measure by 3.

Step-by-step explanation:

7 0

2 years ago

Help? 5/12 + 5/8 <br><br> (spam cause i need 20 characters)

Jobisdone [24]

Answer:

1 1/24

Step-by-step explanation:

5/12 + 5/8

We need a common denominator of 24

Convert the first number to have a denominator of 24

5/12 *2/2 = 10/24

Convert the second number to have a denominator of 24

5/8*3/3 = 15/24

Add the two converted numbers together

10/24 + 15/24

25/24

Change from an improper fraction to a mixed number

24/24 + 1/24

1 1/24

3 0

3 years ago

Read 2 more answers

I will give a thanks 5 stars and i will give you the brainliest Gwen mows 1/4 acre in 3/4 hours. what fraction is used to find t

Vinil7 [7]

Answer:

Step-by-step explanation:

4 0

3 years ago

If the area of the blue square is 144 units2 and the area of the pink square is 1225 units2, then the length of the hypotenuse i

navik [9.2K]

Answer: 37 units

Step-by-step explanation:

$Blue=144units^2$ This also works as the height of the triangle.

$Pink=1225units^2$ This also works as the base of the triangle.

Let's call pink ''a'', and blue ''b''. The side we're looking for ''c'' is the hypothenuse.

To find the values of a and b, use the area formula of a square and solve for a side. In this case, since we're going to need the squared values, this step can be omitted.

$Formula: A=s^2$

$s=\sqrt[]{A}$

Let's work with Blue.

$s=\sqrt[]{144units^2} \\s=12units$

Now Pink.

$s=\sqrt[]{1225units^2}\\s=35units$

So we have a triangle with a base of 35 units and a height of 12 units.

Now let's use the pythagoream's theorem to solve.

$c^2=a^2+b^2\\c=\sqrt[]{a^2+b^2} \\c=\sqrt[]{(12units)^2+(35units)^2}\\c=\sqrt[]{144units^2+1225units^2}\\ c=\sqrt[]{1369units^2}\\ c=37units$

7 0

3 years ago