Question

answer for brainliest (look at pic)

Answer 1

Answer:

b=3

Step-by-step explanation:

The diagonals of a rectangle are equal. So, if you equate the two lengths of the diagonals of the parallelogram and solve by algebra, you will get the value of b as 3.

=>>10/12(24b/5  -  36/5)  =  2/3(3b + 6)

= 240b-360/60   =  6b+12/3

=3(240b-360) = 60(  6b+12)         {Cross multiplying}

= 720b-1080  = 120b+720

= 720b-120b =720+1080

= 600b = 1800

=>>b = 1800/600

Therefore, b=3

Hope I was able to help :)

Answer 2

Answer:

For this parallelogram to be rectangle the diagonals must be equal.

Step-by-step explanation:

length of one diagonal is represented by:

$\frac{10}{12 }( \frac{24b}{5} - \frac{36}{5)}$

The length of another diagonal is represented by:

$\frac{2}{3} ( 3b + 6) \: units$

These two lengths must be equal i.e.

$\frac{10}{12} ( \frac{24b - 36}{5}) = \frac{2}{3} (3b + 6)$

on solving this we get,

$\frac{5}{4} ( \frac{24b - 36}{5} ) = (3b + 6)$

$\frac{24b - 36}{4} = 3b + 6$

$24b - 36 = 12b +24 \\ 24b - 12b = 36 +24 \\ 12b = 60 \\ b = \frac{60}{12} \\ b = 5$

Hence for b=5 ,the given parallelogram is a rectangle.