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5. Look at the house plan given below. It is a rectangular plot. Some of the measurements are given.

Utility (..... ft × ..... ft)
Area = ....... sq. ft

Master Bedroom Area = ....... sq. ft (6 ft × 12 ft) Toilet
(17 ft × 17 ft) Kitchen
Area = 289 sq. ft (17 ft × 14 ft)
Area = 238 sq. ft 35 ft

Small Bedroom
(........ ft × 14 ft) Hall Area = ......... sq. ft
Area = 238 sq. ft

Garden (..... ft × ..... ft) Parking (..... ft × ..... ft)
Area = ....... sq. ft Area = ....... sq. ft

(a) Find the missing measurements.
(b) Find out the total area of the rectangular plot.

create and solve
1. There are nine shapes drawn on a square grid paper. You may have these shapes as a set of cards.
A B C

Area

D E F
Perimeter Increasing

G H I
Increasing

The challenge is to arrange the given shapes in a 3 by 3 square grid such that:
• As you go from left to right, the area of the shapes must increase.
• As you go from top to bottom, the perimeter of the shapes must increase.
• All the shapes in the middle column must have the same area.
• All the shapes on the middle row must have the same perimeter.
2. Here are the dimensions of nine rectangles.
2 × 8 4 × 4 1 × 15
5 × 5 3 × 8 2 × 7
1 × 16 3 × 6 1 × 9
You may have these dimensions as a set of cards. Can you arrange them in the square grid in the same way?

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