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Given:
The width of a kitchen is 4.2 metres.
Kitchen cupboard widths are 60 cm.
To find:
The number of kitchen cupboard that will fit in 4.2 metres.
Solution:
Let x be the number of kitchen cupboard that will fit in 4.2 metres.
Width of 1 cupboard = 60 cm
Width of x cupboards = 60x cm
We know that, 1 m = 100 cm.
Width of a kitchen = 4.2 metres
= 4.2×100 cm
= 420 cm
Now, the width of the x cupboards is equal to width of the kitchen.
Therefore, the number of kitchen cupboard that will fit in 4.2 metres is 7.
Step-by-step explanation:
As the given figure is a rectangle, therefore the opposite sides should be equal. So -
3x + y = 12 – y...(eqn (i) )
and
y – x = x – 1...(eqn (ii) )
Solving eqn (ii) we get -
→ y – x = x – 1
→ y = x + x – 1
→ y = 2x – 1...eqn(iii)
Solving eqn (i) we get -
→ 3x + y = 12 – y
→ 3x = 12 – y – y
→ 3x = 12 – 2y
Substituting the value of eqn (iii)
→ 3x = 12 – 2(2x– 1)
→ 3x = 12 – 4x + 2
→ 3x + 4x = 14
→ 7x = 14
→ x = 14/7
→ x = 2
<h3>Hope it helps you!!</h3>