The area of a rectangle community the garden is 300 square feet. the length of a rectangular garden is three times its width. find the length and width of the garden.

Let's assume the width of the recangular garden is w feet.

Given that, the length of a rectangular garden is three times its width.

So, expression for length will be:

l = 3w.

Another information is also given as the area of a rectangle community the garden is 300 square feet. So,

Area = 300

Length * width = 300

3w * w = 300

3w² = 300

Dividing each sides by 3 to isolate w.

w² = 100

w = √100

w = 10

So, width of the garden is 10 feet.

Since, length = 3w

So, length = 3(10) = 30 feet.

Hence, length and width of the garden is 30 feet and 10 feet respectively.

Hope this helps you!

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

correct answer:

b.(19,-2)