Q91 of 131 Page 226

In Fig. 9.44 a rectangle with perimeter 264 cm is divided into five congruent rectangles. Find the perimeter of one of the rectangles.

Since the rectangles are congruent, their length and breadth are equal.



Given, Perimeter of the rectangle = 264 cm


It can be observed from the figure that


4l + 5b = 264


And 2l = 3b


On solving the above equations:


11b = 264


⇒ b = 24 cm


∴ l = × 24 = 36 cm


Hence, perimeter of smaller rectangles = 2 × (l + b) = 2 × (36 + 24) = 120 cm


More from this chapter

All 131 →
89

Perimeter of a parallelogram shaped land is 96 m and its area is 270 square metres. If one of the sides of this parallelogram is 18 m, find the length of the other side. Also, find the lengths of altitudes l and m (Fig. 9.42).

 90

Area of a triangle PQR right-angled at Q is 60 cm2 (Fig. 9.43). If the smallest side is 8cm long, find the length of the other two sides.

 92

Find the area of a square inscribed in a circle whose radius is 7 cm (Fig. 9.45).

[Hint: Four right-angled triangles joined at right angles to form a square]


 93

Find the area of the shaded portion in question 92.