Question

draw a parallelogram of area 25 cm square and perimeter 24 cm

Answer 1

draw a sq of each side 6cm.

Answer 2

Area of Parallelogram is Product of Base and Height

Step-by-step explanation:

Given

Area = 25 $cm^2$

Area = $5\ cm \times 5\ cm$

• That means the base of the parallelogram (b) = 5 cm

• height of the parallelogram (h) = 5 cm

• Perimeter = 24 cm

2 (A + B) = 24 cm

A + B = 12 cm

where A & B are sides of a parallelogram

since the base is also a side of a parallelogram.

∴ B = 7 cm

With height and base and side we will draw a parallelogram.

We need to find the value of X

In the above fig. triangle ΔPOS is a right-angled triangle with PS as the hypotenuse.

$PS^2 = PO^2 + OS^2$ (Pythagoras Theorem)

$7^2 = X^2 + 5^2$

X = $\sqrt {(49-25)}$

= $\sqrt {24}$

Using height, sides & X we can draw the parallelogram.