Question

A rectangle has length 72 cm and width 56 cm. The other rectangle has the same area as this one, but its width is 21 cm. Find the constant of variation

Answer 1

Length of rectangle  = 7 2 cm

Width =56 cm

Area of Rectangle (R) = Length × Breadth

                                = 72 × 56 cm²

There is another Rectangle , whose Width is 21 cm and area same as the Rectangle(R).

Area of Rectangle (D) having Width 21 cm and Length L is = 21 × L

As Rectangle R and D have same area.

→ 21 × L = 72 × 56

→ Length (L) of new rectangle = $\frac{72\times56}{21}$

                                                 = $\frac{24\times3\times8\times7}{7\times3}= 24 \times 8=192$

As Width Decreases, Length increases if area is constant.

Or, Length Decreases then Width increases if area is constant.

So, In the new rectangle , constant of variation=k is given by,

→$k=\frac{Length}{Breadth} = \frac{192}{21}= \frac{64\times3}{7\times3} =\frac{64}{7}$

→x = k y

→ x = $\frac{64}{7}$ y → Constant of variation

Answer 2

Answer:

CarlynBronk's answer is wrong

Step-by-step explanation: