KnowledgeBoat Logo

Mathematics

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

The figure shows the cross-section of the concrete structure with the measurements as given. Calculate the area of cross-section. Mensuration, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

Mensuration

15 Likes

Answer

From figure,

The figure shows the cross-section of the concrete structure with the measurements as given. Calculate the area of cross-section. Mensuration, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

The figure consist of a trapezium and a rectangle.

Area of trapezium = 12×\dfrac{1}{2} \times (sum of parallel sides) × distance between them

= 12\dfrac{1}{2} × (0.6 + 1.5) × (1.2 + 2.4)

= 12\dfrac{1}{2} × 2.1 × 3.6

= 2.1 × 1.8

= 3.78 m2.

Area of rectangle = l × b

= 2.4 × 0.3 = 0.72 m2.

Area of cross section = Area of trapezium + Area of rectangle

= 3.78 + 0.72 = 4.5 m2.

Hence, area of cross-section = 4.5 m2.

Answered By

9 Likes


Related Questions