Study the following floor plan of a house prepared by an architect.

Some of the measurements are given.

(i) Find the missing measurements.

(ii) Find out the total area of the house (including the Garden).

(i) Finding missing measurements:

The total width of the house = 44 ft.

The top portion of the house contains: Master Bedroom, Toilet, Kitchen and Utility (placed side by side).

For Utility:

Area of Utility = 77 sq. ft, Height = 11 ft (same as Kitchen)

Width of Utility = $\dfrac{\text{Area}}{\text{Height}}$ = $\dfrac{77}{11}$ = 7 ft

So, Utility dimensions = 7 ft × 11 ft.

For Toilet:

Width of Toilet = Total width - (Master Bedroom width + Kitchen width + Utility width)

= 44 - (13 + 18 + 7)

= 44 - 38

= 6 ft

Height of Toilet = 11 ft (same as Kitchen and Utility)

So, Toilet dimensions = 6 ft × 11 ft.

Area of Toilet = 6 × 11 = 66 sq. ft.

For Hall:

Width of Hall = 24 ft

Height of Hall = 16 ft (same as Master Bedroom)

So, Hall dimensions = 24 ft × 16 ft.

Area of Hall = 24 × 16 = 384 sq. ft.

For Garden:

Width of Garden = Total width - (Small Bedroom width + Hall width)

= 44 - (13 + 24)

= 44 - 37

= 7 ft

Height of Garden = 16 ft (same as Hall)

So, Garden dimensions = 7 ft × 16 ft.

Area of Garden = 7 × 16 = 112 sq. ft.

For Small Bedroom:

Small Bedroom dimensions = 13 ft × 11 ft.

Area of Small Bedroom = 13 × 11 = 143 sq. ft.

The missing measurements are:

• Toilet: 6 ft × 11 ft, Area = 66 sq. ft
• Utility: 7 ft × 11 ft, Area = 77 sq. ft
• Hall: 24 ft × 16 ft, Area = 384 sq. ft
• Garden: 7 ft × 16 ft, Area = 112 sq. ft
• Small Bedroom: 13 ft x 11 ft, Area = 143 sq. ft

(ii) Total area of the house:

Total length of the house = Master Bedroom height + Small Bedroom height = 16 + 11 = 27 ft

Total width of the house = 44 ft

Total area of the house = length × width

= 44 × 27

= 1188 sq. ft

Hence, the total area of the house (including the Garden) is 1188 sq. ft.