6 cm
1 answer:
The length of AB is (x + 4) cm, and the values of a and be are a = 10 and b = 4 respectively for rectangle ABCD.
<h3>What is defined as the rectangle?</h3>- A rectangle is a category of quadrilateral, a two-dimensional shape with four sides as well as four vertices.
- The rectangle's four angles are all right angles but rather equal to 90 degrees.
A rectangle is a quadrilateral with opposite sides that are equal and parallel.
A rectangle's area is given by:
Area = length * width
From the diagram:
Length of AB = x + 4
Length of BC = x + 6
The area of the rectangle ABCD is equal to the sum of the lengths of AB and BC.
Area of rectangle ABCD = Length of AB × Length of BC
28 = (x + 4)(x + 6)
x² + 10x + 24 = 28
x² + 10x = 4
Compare with x² + ax = b, values of a and b are obtained as;
a = 10, b = 4
As a result, the length of AB is (x + 4) cm, and the values of a and be are a = 10 and b = 4 respectively.
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The correct question is -
The area of rectangle ABCD is 28 cm^2
a) What is the length of side AB in terms of x?
b) If the area of rectangle ABCD is 28cm^2
we can show that x2 + ax=b
a and b are integer values.
Work out the values of a and b.
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