Question

Amit is planning to buy a house and the layout is given below. The design and the measurement has

been made such that areas of two bedrooms and kitchen together is 95 sq.m.

Based on the above information, answer the following questions:

1. Form the pair of linear equations in two variables from this situation.

2. Find the length of the outer boundary of the layout.

3. Find the area of each bedroom and kitchen in the layout.

4. Find the area of living room in the layout.

5. Find the cost of laying tiles in kitchen at the rate of Rs. 50 per sq.m​

Answer 1

Answer:

1. These are known as a 'Pair of Linear Equations in Two Variables'. To generalize them, a pair of linear equations in two variables x and y is: a1x + b1 y + c1 = 0 and a2x + b2 y + c2 = 0. Where a1, b1, c1, a2, b2, c2 are all real numbers and a12+ b12 ≠ 0, a22+ b22 ≠ 0.

2. Addition of all Sides of Given figure is called perimeter

∴ Perimeter of the given figure =(200+300+80+300+200+260)m=1340 m

∴ Total cost of fencing it at the rate of Rs.20 per meter

=Rs.(1340×20)=Rs.26800

∴ Area of the flower bed =(100×80)m2=8000 m2

Now, cost of manuring the flower bed at the rate of Rs.50 per square meter =Rs.(50×8000)=Rs.400000.