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You can read posting Sarin learns Perimeter, Area and Volume in school(Math Concept) to learn the concept of area.
Read the posting on Sarin learns ratio in school (Math Concept) to learn about concept of Ratio.
Read the posting on Sarin learns the concept of Fraction (mathematics concept) to understand the concept of Fraction.
Read also the posting on Sarin learns Shapes and Solids in school (Math Concept) to know about shapes.
Challenge yourself with the question before look out for the given solution‼!
Upper primary school mathematics question UPQ489
EFGH is a rectangle formed using 4 triangles A, B, C and D. The area of Triangle A is 72 cm2. The ratio of area of Triangle C to area of Triangle B is 13 : 10. The area of Triangle D is 6/5 the area of Triangle B. Find the area of rectangle EFGH.
Subdivide Rectangle EFGH by two with dotted line,
Area A = Area D1 + Area B1
Area C = Area D2 + Area B2
Area A + Area C = Area D1 + Area D2 + Area B1 + Area B2
Area (A + C) = Area (D + B)
Area C : Area B = 13 : 10
Area D is 6/5 of Area B
Area D : Area B = 6 : 5 = 12 : 10
Area C : Area B : Area D : Area (B + D) = 13 : 10 : 12 : 22
Since Area (A + C) = Area (D + B)
Area A : Area C : Area (A + C) = 9 : 13 : 22
9 units = 72 cm2
1 unit = 8 cm2
The area of rectangle EFGH = 2 × 22 × 8 = 352 cm2