Question

Construct the parallelograms EARN with the given measurements and find its area.

ER=10cm, AN=7cm and ∠EOA =110° where ER and AN intersect at O.

$\left[5\right]$

Answer 1

In the parallelogram EARN

ER=10cm, AN=7cm and ∠EOA =110°

Construction:

Steps:
Draw a line segment PX. Mark a point O on PX

Make an angle ∠EOA = 110° on PX at O

Draw arcs of radius 3.5 cm with O as centre on either side of PX. Cutting YZ on A and N

With A as centre, draw an arc of radius 10 cm, cutting PX at E. Join AE

Draw a line parallel to AE at N cutting PX at R. Join EN and AR

EARN is the required parallelogram




$\left[4\right]$

Calculation of area:
Area of the Parallelogram EARN = b x h sq. units
= 10 x 5.5
(by measure h=5.5 cm)
= 55 sq. cm

$\left[1\right]$