Question

Construct a quadrilateral NICE with NI=4.5 cm , IC=4.3cm , NE= 3.5cm, NC= 5.5 cm, and IE=5 CM also find its area​

Answer 1

Answer:

⇒  Draw a line segment NI = 2.5cm.

⇒  With N as a center and radius NL = 4cm, draw an arc.

⇒  With I as a center and radius IL = 3.5cm, draw an arc intersecting the previous arc at point L.

⇒  Again take I as a center with radius IE = 5cm, draw an arc.

⇒  With L as a center and radius LE = 3cm, draw an arc intersecting the previous arc at point E.

⇒  Join NL, IL, IE, LE and NE.

Answer 2

The area of the quadrilateral NICE is 5cm

Given,

Dimensions-

NI = 4.5cm

IC = 4.3cm

NE = 3.5cm

NC = 5.5cm

IE = 5cm

To find,

Area of the quadrilateral NICE

Solution,

• Draw a line segment NI = 4.5cm

• With N as a center and radius NC = 5.5cm, draw an arc.
• Again take N as a center with a radius NE = 3.5cm, and draw an arc

• With I as a center and radius IC = 4.3cm, draw an arc intersecting the previous arc at point C.

• Again take I as a center with a radius IE = 5cm, and draw an arc.

• Join NC, IC, IE, CE, and NE.

• We can find the area of the quadrilateral by dividing the quadrilateral into two triangles.

• The formula is 1/2 * d * (h1+h2)

        where d= diagonal

        h1, h2 = heights of the two triangles

• By substituting the given values in the above formula, we can get an area of 5cm

The area of the quadrilateral NICE is 5cm

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