Mathematics
Suppose the length of a rectangle is 13 cm. Find the area if the breadth is (i) 12 cm, (ii) 10 cm, (iii) 8 cm. Find the linear pattern representing the area of the rectangle.
Answer
Length of the rectangle = 13 cm
Area of a rectangle = length × breadth
(i) Breadth = 12 cm
Area = 13 × 12 = 156 cm2
(ii) Breadth = 10 cm
Area = 13 × 10 = 130 cm2
(iii) Breadth = 8 cm
Area = 13 × 8 = 104 cm2
In general, if the breadth of the rectangle is b cm, the area will be 13b cm2.
Hence, the linear pattern representing the area of the rectangle is 13b, where b is the breadth in cm.
Related Questions
A student has ₹500 in her savings bank account. She gets ₹150 every month as pocket money. How much money will she have at the end of every month from the second month onwards? Find a linear expression to represent the amount she will have in the nth month.
A rally starts with 120 members. Each hour, 9 members drop out of the group. How many members will remain after 1, 2, 3, … hours? Find a linear expression to represent the number of members at the end of the nth hour.
Suppose the length of a rectangular box is 7 cm and breadth is 11 cm. Find the volume if the height is (i) 5 cm, (ii) 9 cm, (iii) 13 cm. Find the linear pattern representing the volume of the rectangular box.
Sarita is reading a book of 500 pages. She reads 20 pages every day. How many pages will be left after 15 days? Express this as a linear pattern.