1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ahrayia [7]
3 years ago
12

The area of a rectangle is 504 square meters. If the perimeter is 90 meters, find the length and width of the rectangle.

Mathematics
1 answer:
o-na [289]3 years ago
5 0

Answer:

Length =24m and width = 21m

Step-by-step explanation:

Given,

Area of rectangle, A = 504 m^2

Perimeter of rectangle, P = 90 m

Since we know, A = Length * width  and  P = 2(Length + width)

So, A = L * w

=> 504 = L*w     ------------------(1)

And P = 2(L + w)

=> 90 =2( L + w)    ----------------(2)

Plug L =504/w in equation 2

i.e.  90 = 2( 504/w + w)

or 45 = 504/w  +  w

or 45 = (504 + w^2 ) / w

or 45w = 504 + w^2

or w^2 - 45w + 504 = 0

On solving above quadratic equation we get:

w = 21 or 24

So we take width , w= 21 meter

Then length will be, L =504/21 =24 meter

Hence length and width of rectangle are 24m and 21m respectively.

You might be interested in
Can you guys help me in 2 3 4 5 pls
ddd [48]
Help her with the dishes
Ask her whats wrong and how you can help
Pick it up and put it in the trash
Tell him its not nice and to treat other how you want to be treated.along with telling the teacher.
3 0
3 years ago
Read 2 more answers
The same Honey is sold in two different size jars. Large jar= 540g for £4.10 Small jar= 360g for £2.81. By considering the amoun
Ray Of Light [21]

Answer:

From our calculations the large jar is the best value for money because a penny buys more honey

Step-by-step explanation:

<h2>In this problem we are expected to determine which purchase of honey is the cheapest ? large jar or small jar ?.</h2><h2 />

We will determine which has the best value for money using the quantity a pound can purchase.  

firstly for the large jar.

if £4.10 will purchase 540g of honey then,

   £1.00 will purchase xg

cross multiplying to find x will have

x=  \frac{1.00*540g}{4.10}

x= 131.7grams

Hence for the large jar a penny would buy 131.7g of honey

secondly for the small jar

if £2.81 will purchase 360g of honey then,

   £1.00 will purchase xg

cross multiplying to find x will have

x=\frac{1.00*360g}{2.81}\\x= 128.1gram

Hence for the small jar a penny would buy 128.1g of honey

4 0
3 years ago
PLEASE ANSWER ASAP!!!
Vesna [10]

Answer:

C=x (x+3)

Step-by-step explanation:

x cannot divide x+3 definitely so the denominators must be multiplied to get the least common denominator.

4 0
3 years ago
Help I’m timed I’ll mark u brainliesttt
Zigmanuir [339]
It would be 5sqrt2

a^2 + b^2 = c^2
5^2 + 5^2 = c^2
25 + 25 = c^2
50 = c^2
c = sqrt 50
c = 5sqrt2
4 0
3 years ago
Hurry Plsssss answer!
Bogdan [553]

Answer:

Perpendicular...They have opposite slopes

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • Its forcing me to do this for some reason i just wamt to use the website bro
    9·1 answer
  • What is the best methodology for working out factors of a number
    12·1 answer
  • Calculate the length of the bold arc
    8·1 answer
  • (3^1/m)^n
    9·1 answer
  • Complete the sentences. The area of the pyramid’s base is in.2. The pyramid has lateral faces. The surface area of each lateral
    5·2 answers
  • 3 schools are participating in a donut fundraiser and shipments have been delivered each pallet has 10 cartons East curtain has
    8·1 answer
  • Example of variations natural resources
    8·1 answer
  • Rewrite using a single positive exponent
    5·1 answer
  • Drag the point A to the location indicated in each<br> scenario to complete each statement.
    11·1 answer
  • Lexi is making a scale drawing of a soccer field that is 120 yards long and 80 yards wide and the field is that see strong is 30
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!