Question

construct a rhombus NEST with NS= 9 cm and ET =8 CM also find it's area.

Answer 1

Answer:

36

Step-by-step explanation:

1/2×product of diagonal

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Answer 2

The area of rhombus NEST is 36 cm².

Given,

NEST is a rhombus, NS = 9 cm, and ET = 8 cm.

To Find,

The area of rhombus NEST.

Solution,

Steps of construction of rhombus NEST.

• Draw a line segment NS measures 9 cm.
• Take an arc of 8 cm in compass and put the compass tip at N and mark the arcs above and below the line.
• Similarly, put the compass tip on S and mark the arcs above and below the line crossing the previous arcs.
• The point above the line where both arcs meet is named E and below the line where both arcs meet is named T.
• Then, connect N to E and T and connect S to E and T.
• Hence, we have drawn a rhombus NEST.

We know that, Area of rhombus = 1/2 x NS x ET

⇒ Area of NEST = 1/2 x 9 x 8

⇒ Area of NEST = 36 cm²

Hence, the area of rhombus NEST is 36 cm².

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