Find the area enclosed by the figure (ii) given below. All measurements are in centimeters.

From figure, BJ = 2 + 2 + 2 + 2 = 8 cm. Area of rectangle ABJK = l × b = AB × BJ = 2 × 8 = 16 cm 2 . From figure, JH = KH - KI = 6 - 2 = 4 cm. Area of trapezium FGHI = (sum of parallel sides) × distance between them = × (FI + GH) × JH = × (2 + 2) × 4 = × 4 × 4 = 8 cm 2 . Area of trapezium CDEF = (sum of parallel sides) × distance between them = × (CF + DE) × BD = × (2 + 2) × 4 = × 4 × 4 = 8 cm 2 . Total area enclosed = Area of rectangle ABJK + Area of trapezium FGHI + Area of trapezium CDEF = 16 + 8 + 8 = 32 cm 2 . Hence, area enclosed by figure = 32 cm 2 .

In the figure (iii) given below, from a 24 cm × 24 cm piece of cardboard, a block in the shape of letter M is cut off. Find the area of the cardboard left over, all measurements are in centimetres.

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In the adjoining figure, ABCD is a rectangle with sides AB = 10 cm and BC = 8 cm. HAD and BFC are equilateral triangles; AEB and DCG are right angled isosceles triangles. Find the area of the shaded region and the perimeter of the figure.

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The figure (i) given below shows the cross-section of the concrete structure with the measurements as given. Calculate the area of cross-section.

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Find the area enclosed by the figure (i) given below, where ABC is an equilateral triangle and DEFG is an isosceles trapezium. All measurements are in centimeters.

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Mathematics

Find the area enclosed by the figure (ii) given below. All measurements are in centimeters.

Mensuration

Related Questions

In the figure (iii) given below, from a 24 cm × 24 cm piece of cardboard, a block in the shape of letter M is cut off. Find the area of the cardboard left over, all measurements are in centimetres.

In the adjoining figure, ABCD is a rectangle with sides AB = 10 cm and BC = 8 cm. HAD and BFC are equilateral triangles; AEB and DCG are right angled isosceles triangles. Find the area of the shaded region and the perimeter of the figure.

The figure (i) given below shows the cross-section of the concrete structure with the measurements as given. Calculate the area of cross-section.

Find the area enclosed by the figure (i) given below, where ABC is an equilateral triangle and DEFG is an isosceles trapezium. All measurements are in centimeters.