Question

One side of a parallelogram is 2.4 dam and its area is 576 $m^2$. Find its corresponding altitude.
A) 24 m
B) 24 cm
C) 24 dm
D) 24 dam

Answer 1

Hint: Area of a parallelogram is given by multiplication of base of a parallelogram and its corresponding altitude. Here from the given value for the area of parallelogram and base of parallelogram we can get the corresponding altitude of parallelogram. Putting the values of area and base of a parallelogram in the Area formula, Area = Base $ \times $ Corresponding altitude, we can obtain the value of altitude.

Complete step-by-step answer:
Parallelogram is a quadrilateral having two opposite sides parallel. Opposite sides are congruent means equal in length. Any side of the parallelogram can be considered as base. Altitude is the perpendicular distance from a vertex of a parallelogram to the opposite side of parallelogram.
Here one sample diagram of a parallelogram is shown.

Here for given data for a parallelogram are, area (A) = 576 m2 and one side (base) of parallelogram is 2.4 dam.
Now, dam is a short form of Decameter. Decameter is the unit of length. Decameter unit can be converted in meters as 1 dam = 10 meter.
So, side of parallelogram (base) = 2.4 dam = $2.4 \times 10 = 24$ m
Now for parallelogram Area = Base $ \times $ Corresponding altitude
Putting the value of area and base in above equation in same unit of measurement as meter,
So, $576 = 24 \times $Altitude
Altitude = $\dfrac{{576}}{{24}}$
Altitude = $24$m
So the corresponding altitude of the parallelogram is 24 meter.

So option (A) is the correct answer.

Note: Each diagonal of the parallelogram cut the parallelogram in two equal triangles. So, the area of the parallelogram can also be calculated by adding the area of two triangles. Area of the triangle can be calculated by formula Area = $\dfrac{1}{2} \times $Base $ \times $ Height.
1 dam = 10m. 1m = 10dm. 1dm = 10cm.