The following mats are made of square patches of equal size. How many square patches will be required to cover each mat? Would both mats require an equal or different number of patches? Trace and cut out a small square of the size give below and find the area.

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Do it yourself.Trisha makes these two rectangles. She says, “I increased the area of my rectangle, and the perimeter increased. Do you think this is always true?Solution:To increase the area of a given rectangle, we need to add unit squares along its length or breadth or both the dimensions. In each case the length around the edge will increase and hence the perimeter of the rectangle will increase.No, it is not always true. For example,Let us take a rectangle whose length = 8 cm and breadth = 1 cm.Therefore, perimeter of rectangle= 2(8 + 1) = 18 cmArea of rectangle = 8 × 1 = 8 sq. cmNow rearrange the sides of the rectangle as length = 5 cmand breadth 3 cm Therefore, Perimeter of rectangle = 2(5 + 3)= 16 cmArea of the rectangle = 5 × 3= 15 sq. cmHence it is not always true that increase the area of rectangle, its perimeter increases.NCERT Textbook Pages 147-148Let Us Explore

Grandmothers Quilt — Question 6