All categories

3 years ago

The length of a rectangle is 6 m longer than its width. If the perimeter of the rectangle is 32 m , find its area.

1 answer:

5 0

Standard calculation for Perimeter is 2L+2W=P or 2(L+W)=P
As we have the totals for the perimeter at 32m and know the lenght is 6m longer than width we can build an equation to find W.

2(L+W)=Perimeter
2(x+x+6)=32
2(2x+6)=32
2x+6=32/2
2x+6=16
2x=16-6
2x=10
x=10/2
x=5

Now we have the width of 5m. As length is 6m longer than width means we add 6m to 5m to determine length

L=W+6
L=5+6
L=11

To determine if your calculations are correct place your L and W answers into original eqution to determine perimeter

2(11+5)=32
2(16)=32
32=32

Yes, it is found correct. Now to find the Area using the standard formula for Area. Area=L*W or A=LW

A=(11)(5)
A=55

Area = 55sq m

You might be interested in

You spin the spinner below once. What is the probability that the arrow will land on an even number?

LiRa [457]

The answers is D. 1/2

8 0

2 years ago

Read 2 more answers

Help guys make p da subject of the formula

Basile [38]

Answer:

$p=\dfrac{m}{k-s}$

Step-by-step explanation:

When they ask you to make a variable the "subject of the formula", they're basically asking you to build a "machine" for it. In the expression $y=mx+b$ , for instance, if we know what m, x, and b are, we can plug them all in and out comes a value for y! To build that machine, we need to get it by itself on one side of the equation.

So, we want to build this machine for p, and the equation we have to build it out of is

$1=\dfrac{pk}{m+sp}$

One think we can immediately say about this equation: for a fraction to be equal to one, its numerator and denominator have to be equal to each other. So we can say

$m+sp=pk$

Ok, what next? Well, if we want p by itself, we need to somehow peel it off of that sp and pk. Let's collect them on the right side by subtracting sp from both sides:

$m=pk-sp$

p is a common factor of both sp and pk, so we can peel it away using the distributive property:

$m=p(k-s)$

And from here, we can divide both sides by $k-s$ and we'll have p as our subject:

$\dfrac{m}{k-s}=p$ or $p=\dfrac{m}{k-s}$

So if we know m, k, and s, we can easily solve for p. If m = 4, k = 2, and s = 0:

$p=\frac{4}{2-0} =\frac{4}{2}=2$

3 0

2 years ago

there are 8 people fishing at lake connor: 5 have fishing licenses, and 3 do not. an inspector chooses two of the people at rand

lianna [129]

Answer:

3 have a license, 5 do not have a license

the first choice is 5 out of 8, or 5/8

the second choice is 4 out of 7, or 4/7

(5/8)*(4/7)=20/56=10/28=5/14

another way to look at it is...

how many ways can you choose 2 people out of 8 people ?

8!/2!(8-2)!=8!/2!*6!=8*7/2=56/2=28 ways

how many ways can you choose 2 people out of 5 people ?

5!/2!(5-2)!=5!/2!*3!=5*4/2=20/2=10

10/28=5/14 again

call the 5 people who don't have a license A,B,C,D, and E

how can they be paired together ?

AB,AC,AD,AE,BC,BD,BE,CD,CE, and DE for a total of 10

again 10/28=5/14

5 0

3 years ago

30 is decreased to 6 what is the percent

spin [16.1K]

X=percentage in decimal
30x=6
30/30x=6/30
x=1/5=.20

.20=20/100=20%

20%

4 0

3 years ago

Read 2 more answers

In rectangle abcd measure of angle d =(3x+15) measure b =(6x-42) find measure of angle a

slava [35]

5) So for parallelogram ABCD, ∠B ≅ ∠D, and ∠A ≅ ∠C. Further, ∠B and ∠A are supplementary (i.e., their sum is 180°), and ∠D and ∠C are also supplementary.
So, we have that m∠B = m∠D. Therefore,
$6x-42=3x+15\\3x=57\\x=19$

Now, let's substitute for x back into the expression for either ∠B or ∠D to find it's angle measure.
m∠B = $6(19)-42=72$
Now, remember that ∠B or ∠D are supplements of ∠A.
So, m∠B + m∠A = 180°.
That means m∠A = 180° – 72° = 108°.
That seems reasonable, because A appears to be an obtuse angle.

6 0

3 years ago