1. A rectangular garden in a backyard has an area of (3x2 + 5x - 2) square me- ters. Its width is (x + 2) meters.
a. Find the length of the garden.
b. You decided to partition the garden into two or more smaller congruent gardens. Design a possible model and include mathematical concepts your design.
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Given : A rectangular garden in a backyard has an area of (3x²+5x-2) square meters. Its widhth is (x+2) meters.
To Find the length of the garden.
Solution:
rectangular garden area = Length * Width
=> Length * (x+2) = 3x²+5×-2
3x²+5x-2 = 3x²+6x-x-2
= 3x(x + 2) - 1(x + 2)
= (3x - 1)(x + 2)
Length * (x+2) = (3x - 1)(x + 2)
=> Length = 3x - 1
Length = 3x - 1
Width = (x + 2)
Length = (3x - 1 )/2 , (x + 2) will make two congruent garden
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