The three sides of a triangular garden are represented by the following algebraic…

MATHEMATICS · Multi-part · CBSE · Mathematics · We Distribute, Yet Things Multiply · We Distribute, Yet Things Multiply

Problem

The three sides of a triangular garden are represented by the following algebraic expressions (in metres): Side AB=2x2+3x−4AB = 2x^{2}+3x-4, Side BC=−x2+5x+6BC = -x^{2}+5x+6, Side CA=4x−3CA = 4x-3. (i) Find an expression for the perimeter of the garden in terms of xx. (ii) The boundary of the garden is to be fenced with rope that costs Rs 1212 per metre. Calculate the total cost of fencing when x=3x=3.

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