Question

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Answer 1

The area of rectangular garden is $8 x^{2}+4 x-24$

Solution:

Given that a rectangular garden has width = 4x - 6

Length of rectangular garden = 2x + 4

To find: area of rectangular garden

The area of rectangle is given as:

$\text {area of rectangle }=\text { length } \times \text { width }$

Substituting the values in given formula,

$\begin{array}{l}{\text { area of rectangle }=(2x+4) \times(4x-6)} \\\\ {=8 x^{2}-12 x+16 x-24} \\\\ {=8 x^{2}+4 x-24}\end{array}$

Thus the area of rectangular garden is $8 x^{2}+4 x-24$