Question

the perimeter of a parallelogram is 280m. if the perpendicular distance between a pair of opposite side is 14 m and its area is 280 sq. m, find the length of two adjacent side of a parallelogram ​

Answer 1

Step-by-step explanation:

Write True or False . Justify it if false

Answer 2

Hey there !!

➡ Given :-

• Perimeter of parallelogram=120m
• Area of parallelogram = 280 m²
• Distance between two opposite sides = 7 m

➡ To Find :-

→ The length of two adjacent sides of the parallelogram [ i.e., length (l) and breadth (b) ]

▶Solution :-

We have,

• Area of parallelogram = Base × Height

=> Base × 7 m = 280 m²

=> Base = 280/7 .

•°• Base = 40 m.

°•° Hence, Base = length.

▶ Now,

The perimeter of parallelogram = 2(length+breadth) .

=> 2( 40 + b ) = 120 .

=> 80 + 2b = 120 .

=> 2b = 120 - 80 .

=> 2b = 40 .

=> b = 40/2 .

•°• b = 20 m.

$\green{\bf{✔✔}}$ Hence, two adjacent side of parallelogram is 20m and 40m. ✅✅

THANKS

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