In the diagram, all measurements are in centimetres. the lengths of the side of the quadrilateral are 2r+5, 2r, 4r-3 and r. find an expression, in terms of r, for the perimeter of the quadrilateral. give your expression in its simplest form.

The expression for the perimeter of the quadrilateral is cm.

Step-by-step explanation:

The lengths of the side of the quadrilateral are  .

Perimeter means the sum of all side lengths in any geometric figure.

If the perimeter is , then.....

So, the expression for the perimeter of the quadrilateral is cm.

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: