Question

(c) The perimeter of a rectangle is 40 cm and the ratio of its length and breadth is 3:2. Find
(i) the length of its diagonal, and (ii) its area.
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Answer 1

Answer:

14.42cm

Step-by-step explanation:

2{3xcm +2xcm} =40cm

10x =40

x =4

thus dimensions ;

12cm by 8cm

hence diagonal will cut the rectangle into two equal right-angle triangles, length of the diagonal :

a² + b² =c²

c= √(a²+b²)

12² + 8² = 208

√208 =14.42

diagonal = 14.42cm