Find the areas of the figures below by dividing them into rectangles and triangles. Class 6

Find the areas of the figures below by dividing them into rectangles and triangles. Class 6

Question 1.

Find the areas of the figures below by dividing them into rectangles and triangles. Class 6

Solution:

Split the figures, (a), (b), (c), (d) and (e) as shown.

Area of figure (a)

= ([latex]\frac{1}{2}[/latex] × 4 × 1 + 5 × 4 + [latex]\frac{1}{2}[/latex] × 4 × 1)

= 24 sq. units.

Area of figure (b)

= ([latex]\frac{1}{2}[/latex] × 4 × 3 + 5 × 4 + [latex]\frac{1}{2}[/latex] × 4 × 2)

= 30 sq. units.

Area of figure (c)

= ([latex]\frac{1}{2}[/latex] × 6 × 2 + 8 × 3 + [latex]\frac{1}{2}[/latex] × 3 × 2 + [latex]\frac{1}{2}[/latex] × 10 × 3) sq. units.

= (6 + 24 + 3 + 15) = 48 sq. units.

Area of figure (d)

= ([latex]\frac{1}{2}[/latex] × 2 × 1 + 4 × 3 + [latex]\frac{1}{2}[/latex] × 2 × 3)

= 16 sq. units.

Area of figure (e)

= ([latex]\frac{1}{2}[/latex] × 2 × 1 + 1 × 5 × 1 + [latex]\frac{1}{2}[/latex] × 2 × 3 + 2 × 2 + 1 × 2 × 1)

= (1 + [latex]\frac{5}{2}[/latex] + 3 + 4 + 1) = 11[latex]\frac{1}{2}[/latex] sq. units.