Question

6 cm

Answer 1

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.

What is defined as the rectangle?

• 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.

To know more about the rectangle, here

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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.