Question

the adjacent sides parellelogram are 10cm and 8cm . if the perpendicular distance between the smaller sides are 6 cm the distance between the greater side

Answer 1

Answer:

The distance between the greater sides is 4.8 cm

Step-by-step explanation:

step 1

Find the area of parallelogram

we know that

the perpendicular distance between the smaller sides is also the height of parallelogram

The area of parallelogram is equal to multiply the length of the smaller side by the perpendicular distance between the smaller sides

so

$A=8(6)=48\ cm^2$

step 2

Find out the distance between the greater sides

we know that

The area of parallelogram is equal to multiply the length of the greater side by the perpendicular distance between the greater sides

Let

x ----> the perpendicular distance between the greater sides

so

$A=10(x)$

we have

$A=48\ cm^2$

substitute

$48=10(x)$

solve for x

$x=4.8\ cm$