Question

1)A rectangular garden in a backyard has an area of (3×^2+5×-2) square meters. Its widhth is (×+2) meters.
•Find the length of the garden.
•You decide tp partition the garden into two or more smaller congruent gardens. Design a possible model and include mathematical concepts in your design.
2)If one of bond paper costs (-4) pesos, how many reams can you buy for (6×^4-17×^3+24×^2-34×+24) pesos.​

Answer 1

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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