Question

1. Construct a quadrilateral ABCD where AB = 4 cm, BC = 6 cm, CD=5.2 cm, DA = 5.3 cm and AC = 7 cm. Measure
BD​

Answer 1

Answer:

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Answer 2

Answer:

Given: AB = 4 cm, BC = 6 cm, CD = 5.6 cm, DA = 5 cm and AC = 8 cm.

To construct a quadrilateral

Steps for construction

Step 1 : Draw a rough figure and mark the given measurements.

Step 2 : Draw a line segment AB = 4 cm.

Step 3 : With A and B as centres draw arcs of radii 8 cm and 6 cm respectively and let them cut at C.

Step 4 : Join AC and BC

Step 5 : With A and C as centres draw arcs of radii 5 cm, and 5.6 cm respectively and let them cut at D.

Step 6 : Join AD and CD ABCD is the required quadrilateral.

Step 7 : From B draw BE⊥ ACand from D draw DF⊥ AC

, then measure the lengths of BE and DF. BE = h¹= 3 cm and DF = h²= 3.5 cm.

AC = d = 8 cm.

Calculation of area:

In the quadrilateral ABCD, d = 8 cm, h ¹= 3 cm and h²= 3.5 cm.

Area of the quadrilateral ABCD = 1/2 (8)(3+3.5)=1/2 ×8×6.5

=26cm²