Write the algebraic expression for:

(i) The area of a reactangle if its length (l) is increased by 5 and breadth (b) is reduced by 3.

(ii) Volume of a cubiod if its length (l) is reduced by 7, height (h) becomes 3 times and width (w) is increased by 2. [2 MARKS]

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Solution

Application: 1 Mark each

(i) Area of a rectangle = length $\times$ breadth

new length = l + 5

new breadth = b - 3

So, new area = (l + 5)(b - 3)

(ii) Volume of cuboid = length $\times$ height $\times$ width

new length = l - 7

new height = 3h

new width = w + 2

So, new volume = (l - 7)(3h)(w + 2)

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Write the algebraic expression for: (i) The area of a reactangle if its length (l) is increased by 5 and breadth (b) is reduced by 3. (ii) Volume of a cubiod if its length (l) is reduced by 7, height (h) becomes 3 times and width (w) is increased by 2. [2 MARKS]

Application: 1 Mark each (i) Area of a rectangle = length × breadth new length = l + 5 new breadth = b - 3 So, new area = (l + 5)(b - 3) (ii) Volume of cuboid = length × height × width new length = l - 7 new height = 3h new width = w + 2 So, new volume = (l - 7)(3h)(w + 2)

Write the algebraic expression for:

(i) The area of a reactangle if its length (l) is increased by 5 and breadth (b) is reduced by 3.

(ii) Volume of a cubiod if its length (l) is reduced by 7, height (h) becomes 3 times and width (w) is increased by 2. [2 MARKS]