Use the letter given in brackets to write the following formulas.

(1) Perimeter of a rectangle = 2 × length + 2 × breadth (l for length and b for breadth)
(2) Perimeter of a square = 4 × length of side (a for length of side)
(3) Perimeter of a triangle = Sum of the lengths of the three sides of the triangles (Length of the sides of the triangle a, b, c)
(4) Profit = Selling price − Cost Price (p for profit, s for selling price, c for cost price)

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Solution

(1) Perimeter of a rectangle = 2 × l + 2 × b = 2l + 2b = 2(l + b)

(2) Perimeter of a square = 4 × a = 4a

(3) Perimeter of a triangle = a + b + c

(4) p = s – c

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Similar questions

Write the following using numbers, literals and signs of basic operations. State what each letter represents:
(i) The diameter of a circle is twice its radius.
(ii) The area of a rectangle is the product of its length and breadth.
(iii) The selling price equals the sum of the cost price and the profit.
(iv) The total amount equals the sum of the principal and the interest.
(v) The perimeter of a rectangle is two times the sum of its length and breadth.
(vi) The perimeter of a square is four times its side.

Q. For which values of a, b and c, side lengths of a triangle ABC, the perimeter will be 22 cm ?

Q. The length of a rectangle is four times its breadth. Find the simplified expression for the perimeter and the area of the rectangle.
(

l

= Length of the triangle,

b

= Breadth of the triangle)

Translate each of the following statements into an equation: [4 MARKS]
a) The perimeter (p) of an equilateral triangle is three times of its side (a).
b) The diameter (d) of the circle is twice its radius (r).
c) The selling price (s) of an item is equal to the sum of the cost price (c) of an item and the profit (p) earned.
d) Amount (a) is equal to the sum of principal (p) and interest (i).

Q. If the lengths of three sides of a triangle are a, b and c, find the perimeter of the triangle.

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(1) Perimeter of a rectangle = 2 × l + 2 × b = 2l + 2b = 2(l + b) (2) Perimeter of a square = 4 × a = 4a (3) Perimeter of a triangle = a + b + c (4) p = s – c

(1) Perimeter of a rectangle = 2 × l + 2 × b = 2l + 2b = 2(l + b)

(2) Perimeter of a square = 4 × a = 4a

(3) Perimeter of a triangle = a + b + c

(4) p = s – c