A garden measures p metres by 3p + 2 metres.
⦁ Write an expression that describes the perimeter of the garden.
⦁ The garden has a perimeter of 76 metres. Write an equation to show this.
⦁ Solve your equation to find the value of p.
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Answer:
8p + 4; 8p+4 = 76; p = 9
Step-by-step explanation:
Length of garden (L) = 3p + 2
Breadth of garden (B) = p
Perimeter of garden = 2L + 2B
= 2(3p + 2) + 2p
= 6p + 4 + 2p
= 8p + 4
Given, perimeter = 76
=> 8p + 4 = 76
=> 8p = 76 - 2
=> 8p = 72
=> p = 9
p = 9m
Length of garden = 3p+2 = 29m
Breadth of garden = p = 9m
Perimeter = 2L + 2B = 2(L+B) = 2(29+9) = 2(38) = 76m
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