Question

12. A rectangular sheet of cardboard measures 64 cm by 15 cm.

Answer 1

The length of the rectangle is 60 cm, when width is changed to 15 cm so that the  rectangle  have the same area as rectangle 1.

Step-by-step explanation:

Find Area of Original sheet

Length 1 = 64 cm

Width 1 = 15 cm

Area 1 = ?

The formula used is:

$Area = Length \times Width$

Putting values:

$Area\,\,1 = Length\,\,1 \times Width\,\,1\\Area\,\,1 = 64 \times 15\\Area\,\,1 = 960\,\,cm^2$

So, Area of original sheet is Area 1 = 960 cm^2

Now, the width is changed to 16 cm so,

Width 2 = 16 cm

The area of rectangle is same as area 1 so,

Area 2 = Area 1 = 960

We need to find the length so,

Length 2 = ?

Using the above formula:

$Area\,\,2 = Length\,\,2 \times Width\,\,2\\960=Length\,\,2 \times 16\\Length\,\,2= \frac{960}{16}\\Length\,\,2 = 60\,\,cm$

So, length of the rectangle is 60 cm, when width is changed to 15 cm so that the  rectangle  have the same area as rectangle 1.

Keywords: Area of rectangle

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