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**Question 1. Sarika participated in a drawing competition. She is required to make a design on a rectangular sheet of dimensions 50 cm × 70 cm. In the design she made 8 triangles, each of sides 26 cm, 17 cm and 25 cm as shown in the figure.**

**(i) Find the total area of the design. (ii) Find the remaining area of the sheet. (iii) By drawing a design in a competition, which value is depicted by Sarika? Solution.** (i) Sides of a triangle are: a = 26 cm, b = 17 cm and c = 25 cm

Using, Hero’s formula,

= 2 × 17 × 2 × 3 cm^{2 }= 204 cm^{2}

∵ The design is having 8 equal (congruent) triangles.

∴ Total area of the design = 8 × (Area of one triangle) = 8 × 204 cm^{2}

= 1632 cm^{2}

(ii) Total area of the sheet =70 cm × 50 cm = 3500 cm^{2}

∴ Remaining area of the sheet = (3500 – 1632) cm^{2}

= 1868 cm^{2}

(iii) Creativity.

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