All categories

3 years ago

The length of a rectangle is 5 more than 2 times its width. The perimeter is 40 inches. What is the width of the rectangle?

Mathematics

2 answers:

Alex17521 [72]3 years ago

8 0

Answer:

The width of rectangle = 5 inches

Step-by-step explanation:

Formula:-

Permeter of rectangle = 2(l + b)

l - Length of rectangle

b - Breadth of rectangle

It is given that,the length of a rectangle is 5 more than 2 times its width. The perimeter is 40 inches

Let 'x' be the width of rectangle.

length of rectangle = 2x + 5

To find the value of x

It is given that perimeter = 40 inches

Perimeter = 2(l + b) = 40

2(2x + 5 + x) = 40

3x + 5 = 20

3x = 20 - 5 = 15

x = 15/3 = 5

To find the length and width

Width = x = 5 inches

Length = 2x +5 = 2*5 + 5 = 15 inches

kvv77 [185]3 years ago

4 0

Answer:

The width of the rectangle is 5 in

Explanation:

Assume that the width of the rectangle is x

We are given that:

The length is 5 more than 2 times the width

This means that:

Length of the rectangle = 2x + 5

Now, we are given that the perimeter of the rectangle is 40 inches

Therefore:

Perimeter = 2 (length + width)

40 = 2 (2x + 5 + x)

20 = 3x + 5

20 - 5 = 3x

3x = 15

x = 5

From the above calculations, we can conclude that:

Width of the rectangle = x = 5 in

Length of the rectangle = 2x + 5 = 2(5) + 5 = 10 + 5 = 15 in

Hope this helps :)

You might be interested in

A box of laundry detergent is on sale for $6.50. If this price represents a 40% discount from the original price, what is the or

Mademuasel [1]

$10.83 because you need to divide 6.50 by .6 to get that answer approximately.

4 0

4 years ago

What is the first integer to the right of 0 on the number line

Nesterboy [21]

Answer:

Step-by-step explanation:

Numbers to the "right of 0" implies the positive numbers. And an integer has no fractional component. Thus, the first integer to the right of 0 would be 1.

Cheers.

4 0

4 years ago

If sinA=√3-1/2√2,then prove that cos2A=√3/2 prove that

Ivan

Answer:

$\boxed{\sf cos2A =\dfrac{\sqrt3}{2}}$

Step-by-step explanation:

Here we are given that the value of sinA is √3-1/2√2 , and we need to prove that the value of cos2A is √3/2 .

Given :-

• $\sf\implies sinA =\dfrac{\sqrt3-1}{2\sqrt2}$

To Prove :-

• $\sf\implies cos2A =\dfrac{\sqrt3}{2}$

Proof :-

We know that ,

$\sf\implies cos2A = 1 - 2sin^2A$

Therefore , here substituting the value of sinA , we have ,

$\sf\implies cos2A = 1 - 2\bigg( \dfrac{\sqrt3-1}{2\sqrt2}\bigg)^2$

Simplify the whole square ,

$\sf\implies cos2A = 1 -2\times \dfrac{ 3 +1-2\sqrt3}{8}$

Add the numbers in numerator ,

$\sf\implies cos2A = 1-2\times \dfrac{4-2\sqrt3}{8}$

Multiply it by 2 ,

$\sf\implies cos2A = 1 - \dfrac{ 4-2\sqrt3}{4}$

Take out 2 common from the numerator ,

$\sf\implies cos2A = 1-\dfrac{2(2-\sqrt3)}{4}$

Simplify ,

$\sf\implies cos2A = 1 -\dfrac{ 2-\sqrt3}{2}$

Subtract the numbers ,

$\sf\implies cos2A = \dfrac{ 2-2+\sqrt3}{2}$

Simplify,

$\sf\implies \boxed{\pink{\sf cos2A =\dfrac{\sqrt3}{2}} }$

Hence Proved !

8 0

3 years ago

One supplementary angle is 15 degrees less than twice the other. Find the measure of the two supplementary angles.

Scilla [17]

Answer:

The measure of the two supplementary angles are 65 degrees and 115 degrees.

Step-by-step explanation:

The sum of supplementary angles is equal to 180 degrees. Let x and y are two angles such that,

$x+y=180\ ....(1)$

According to given condition,

One supplementary angle is 15 degrees less than twice the other, it means,

$x=2y-15\ .....(2)$

Putting the value of x from above equation in equation (1),

$2y-15+y=180\\\\3y-15=180\\\\3y=195\\\\y=\dfrac{195}{3}\\\\y=65^{\circ}$

Now put the value of y in equation (1), so,

$x+65=180\\\\x=115^{\circ}$

So, the measure of the two supplementary angles are 65 degrees and 115 degrees.

3 0

4 years ago

Susie is making fruit baskets for her school fundraiser she has 28 bananas and 21 apples what are the most food baskets that you

kondaur [170]

7 is the most

Hope this helped :)

7 0

3 years ago