Question

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Answer 1

a) x+4

b) a = 1, b = 10

Explanation:

a) You can read the lenght of AB, which is 4 + x

b) The lenght of AD is 6+x

The area of the rectangle ABCD is lenght AB * lenght CD,

so (4+x)*(6+x) = 24 + 6x + 4x + x^2 = x^2 + 10x +24

Since this must equal 28, it follows that

x^2 + 10x + 24 = 28,

so 1*x^2 + 10x = 4

(note that 1*x^2 is just x^2)

so a = 1 and b = 10