3 years ago

What is the length and width of a rectangle if Area is 20 and perimeter is 20

Mathematics

1 answer:

Anna [14]3 years ago

3 0

Answer: a=5+√5

b=5-√5

Step-by-step explanation:

a=?

b=?

P=20

A=20

P=a*b=20

A=a+b=20

------------------

ab=20

a+b=10

--------

a=10-b

(10-b)b=20

-b²+10b-20=0

b=-10±√100-80/-2

b=-10±√20/-2

b=-10±2√5/-2

b=-10-2√5/-2=5+√55

b=5-√5

a+b=10

a+5-√5=10

a=5+√5

a+5+√5=10

a=5-√5

You might be interested in

Glenn is collecting aluminum cans to earn money. He has 5 bags that hold an average of 300 cans each. If he gets 2.00 for every

Karo-lina-s [1.5K]

Glenn will get 6.666 dollars

8 0

3 years ago

Two sides of an isosceles triangle measures 10 and 10. What is true about the third side?

zvonat [6]

The 3rd side is not the same length of the first 2 sides.

6 0

3 years ago

At the Grassy Meadows Mennonite School, the total number of students in grade 7-9 is the lowest commom multiple of the numbers o

kobusy [5.1K]

Answer:

Seven

Step-by-step explanation:

Let G7, G8, and G9 be the numbers of students in the respective grades.

Then, G7 + G8 + G9 = LCM of G8 and G9

Data:

G8 = 5

G9 = 3

Calculations:

Multiples of 5: 1 2 10 15

Multiples of 3: 1 3 6 9 15

The LCM of 5 and 3 is 15.

G7 + 5 + 3 = 15 Combine like terms

G7 + 8 = 15 Subtract 8 from each side

G7 = 7

There are seven students in Grade 7.

4 0

4 years ago

a bird flies 25 miles Due West then turns due south and flies for another 15 miles and lands how far is the bird from its starti

Crazy boy [7]

Check the picture below.

4 0

3 years ago

Gio is solving the quadratic equation by completing the square 5x^2+15x-4=0 What's should gio do first?

Softa [21]

Gio should for sure devide everything by ^2 and then combine like terms.

5 1

4 years ago