All categories

2 years ago

The length of a rectangle is 4 m

Mathematics

1 answer:

dimulka [17.4K]2 years ago

6 0

Answer:

Given :

The length of a rectangle is 4 cm more than its width

The area of the rectangle is 96 cm²

To Find :

Width of the rectangle.

Solution :

Let the length of the rectangle be x cm.

Let the breadth of the rectangle be y cm.

Case 1:

➣

➣ _____(1)

Case 2 :

We have the formula for area of the rectangle as follows :

Where,

l = length → x cm

b = breadth → y cm.

➣

Substitute, x = 96/y in equation 1,

➣

Divide by minus sign,

➣

As per assumption, y = breadth of the rectangle.

•°• y = -12 is not acceptable.

Substitute, y = 8 in equation 1,

➣

Step-by-step explanation:

You might be interested in

Please help!!

Zolol [24]

Answer:

Exterior = 22.5 degrees

Interior = 157.5 degrees

Step-by-step explanation:

Exterior angles = 360/16 = 22.5

Interior Angles = 180 - 22.5 = 157.5

5 0

2 years ago

What is the difference between the fractions? Use the number line to help find the answer.

NNADVOKAT [17]

Answer:

The difference is $\frac{3}{10}$

Step-by-step explanation:

We must find the common denominator of the fractions.

The common denominator of $\frac{1}{2}$ and $\frac{1}{5}$ is $2*5=10$ ; therefore we have

$\frac{1}{2}=\frac{5}{10}$

$\frac{1}{5} =\frac{2}{10}$

now it is easy to subtract $\frac{5}{10} -\frac{2}{10}$ using the number line: we have to move $\frac{3}{10}$ units to the left in order to get to $\frac{2}{10}$ .

Thus our answer is

$\boxed{\frac{1}{2} -\frac{1}{5}=\frac{3}{10} }$

3 0

3 years ago

Read 2 more answers

A nature museum has 2008 specimens of early birds, some with 222 wings and some with 444 wings. The specimens have a total of 40

ludmilkaskok [199]

Let's assume

number of birds with 2 wings is x

number of birds with 4 wings is y

A nature museum has 2008 specimens of early birds

so,

$x+y=2008$

Total of wings of 2 wings bird =2x

Total of wings of 4 wings bird =4y

The specimens have a total of 4384 wings

so, we get

$2x+4y=4384$

we can divide both sides by 2

$x+2y=2192$

so, we get system of equations as

$x+y=2008$

$x+2y=2192$

we can solve for x and y

We can subtract both equations

$2008-y+2y=2192$

$y=184$

$x=2008-184$

$x=1824$

$y=184,\:x=1824$

so,

number of birds with 2 wings is 1824

number of birds with 4 wings is 184.............Answer

5 0

3 years ago

Eight people audition for a choir. The choir director must choose one soprano, one altar and one soprano. In how many ways can t

Trava [24]

There are 72 different ways the director can fill the positions.

(1+2+3+4+5+6+7+8) x 2

You multiply it by 2 because there are going to be 4 other people who will not have a position, and 8/4 is 2.

4 0

3 years ago

Read 2 more answers

How did the tempicher change if at first it increased by 5% and then increased by 20 percent

tensa zangetsu [6.8K]

Answer:

Increasing a number by 5% and then by 20% is the same as increasing the original number by 26%.

Step-by-step explanation:

Take a number, x.

Now increase it by 5%.

1.05x

Now increase it by 20%.

1.2 * 1.05x = 1.26x

1.26x = 126% of x = 100% of x + 26% of x

100% of x is the same as x, so it is the same as the original x.

The increase is 26% of the original number.

Increasing a number by 5% and then by 20% is the same as increasing the original number by 26%.

3 0

2 years ago