(b)
In the figure, area of parallelogram LMNO is 240 sq. cm. Find the area of:
(i) parallelogram PMNQ
(ii) triangle PMQ
M
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Answers
(i)Area of parallelogram PMNQ is 240 cm².
(ii)Area of ∆PMQ is 120 cm².
Step-by-step explanation:
Case 1: Finding the area of parallelogram PMNQ
From figure attache below, we can say that
Both the parallelogram LMNO and PMNQ are on the same base MN and lie between the same parallel lines MN and LQ.
We know that if two parallelograms are on the same base and lie between the same parallel lines, then they have the same area.
∴ Area (parallelogram PMNQ) = Area (parallelogram LMNO) …. (i)
Since the area of parallelogram LMNO = 240 cm² ….(given) …… (ii)
Thus, from (i) & (ii), we get
The area of the parallelogram PMNQ = 240 cm²….. (iii)
Case 2: Find the area of ∆PMQ
From the given figure, we can say that
The ΔPMQ and the parallelogram PMNQ have the same base PQ and lie between the same parallel lines PM and NQ.
We know that if a triangle and a parallelogram are on the same base and lie between the same parallel lines, then the area of the triangle is equal to half the area of the parallelogram.
∴ Area (∆ PMQ) is given by,
= ½ * Area (parallelogram PMNQ)
= ½ * 240
= 120 cm²
Thus, the area of parallelogram PMNQ is 240 cm² and ∆ PMQ is 120 cm².
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Also View:
LMNO is a parallelogram. find the area of triangle LMP
https://brainly.in/question/13596932
LMNO and PMNQ are two parallelograms and R is any point on MP. Show that area of triangle NRQ is equal to half the area of parallelogram LMNO.
https://brainly.in/question/7478812
