Question

The length of a rectangle is (2x + 3) units and the breadth is (2x – 3) units. Find the area of the rectangle in terms of x. What will be the area of rectangle of x = 30 units?

Pls Answer Fast as possible

Answer 1

Step-by-step explanation:

$(2x + 3)(2x - 3) = 4 {x}^{2} - 9$

$if \: \: x = 30 \: \: \: \: then \: area = 4 {x}^{2} - 9 = 4 \times 900 - 9 = 3591$

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Answer 2

The correct answer is area in terms of x is $4x^{2} -9$ and area when x = 30 units is 3591 units.

Given: Length of rectangle = (2x + 3) units.

Breadth of rectangle = (2x – 3) units.

To Find: Area in terms of x and area when x = 30 units.

Solution:

Area of rectangle = l*b

area = (2x + 3)(2x – 3)

area = $4x^{2} -9$

Area when x = 30 units.

area = $4(30)^{2} -9$

area = 3600-9

area = 3591 units.

Hence, the area in terms of x is $4x^{2} -9$ and area when x = 30 units is 3591 units.

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