ABCD is a parallelogram. The length of the sides AB = 12cm and AD = 8cm. The height corresponding to the side AB is DL = 4cm. Find (i) The area of the parallelogram ABCD, (ii) The length of BM.

a, 48cm^2

b. 6 cm

Step-by-step explanation:

The computation of the area of the parallelogram is shown below:

As we know that

Area of the paralleloogram is

= Base × height

= 12 cm × 4 cm

= 48 cm^2

And, the length of BM is

= 48 ÷ 8

= 6 cm

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

-3 degrees

step-by-step explanation: