Question

The length of rectangular plot whose area is
8x2-15x + 7 is

Answer 1

Step-by-step explanation:

Area of rectangular plot= 8x^2 -15x +7

=8x^2 -8x -7x +7

=8x(x-1) -7(x-1)

=(8x-7)(x-1)

so length and breadth of plot are(x-1) and (8x-7)

Answer 2

Length of rectangular plot can be either (x-1)  or (8x - 7)   whose area is 8x² - 15x + 7

Given:

• Area of a rectangular plot is 8x² - 15x + 7

To Find:

• Length of rectangular plot

Solution:

Area of a Rectangle = Length x Breadth

8x² - 15x + 7

Step 1:

Split the middle term

8x² - 8x - 7x + 7

Step 2:

Take 8x common from first two terms and -7 common from last 2 terms

8x(x - 1) - 7(x-1)

Step 3:

Take (x-1) common from both terms

(x - 1)(8x- 7)

Hence , Length can be Either (x-1)  or (8x - 7)