Question

If it costs Rupees 25/- per square meter to paint the wall then the algebraic expression for the cost of painting the given wall is-​

Answer 1

Answer:

Area to be painted (A_paint)

= A(Wall) - [A(Door) + A(Window)]

= (5x+1) × b - (3x^2 + 2x^2)

= (5xb+b - 5x^2) square metres

Amount = 25 × (Area_paint)

= 25 × (5xb+b - 5x^2)

= (125xb + 25b - 125x^2) ₹

[b is breadth of the wall here]

Hope it helps.

Answer 2

• Rs. 125(10x + 2 - x²)

Given :- it costs Rupees 25/- per square meter to paint the wall . (Also refer to image .}

To Find :- The algebraic expression for the cost of painting the given wall ?

Formula used :-

• Area of rectangle = Length × Breadth.

Solution :-

Wall :-

→ Length = (5x + 1) m

→ Breadth = 10 m

So,

→ Area of wall = Length × Breadth = (5x + 1) × 10 = 10(5x + 1) m² ---------- Equation (1)

Door :-

→ Length = x m

→ Breadth = 3x m

So,

→ Area of wall = Length × Breadth = x × 3x = 3x² m² ---------- Equation (2)

Window :-

→ Length = 2x m

→ Breadth = x m

So,

→ Area of wall = Length × Breadth = 2x × x = 2x² m² ---------- Equation (3)

then,

→ Area of wall that was painted = Area of wall - (Area of door + Area of window) = Equation (1) - [Equation (2) + Equation (3)]

→ Required area to be painted = 10(5x + 1) - (3x² + 2x²)

→ Required area to be painted = 10(5x + 1) - 5x²

→ Required area to be painted = 5{2(5x + 1) - x²}

→ Required area to be painted = 5(10x + 2 - x²)

therefore,

→ Rate of cost = Rs. 25/m²

hence,

→ Total cost of painting the given wall = Total area to be painted × Rate = 5(10x + 2 - x²) × 25 = Rs. 125(10x + 2 - x²) (Ans.)

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