Question

Find the value of y if the length and breadth of a rectangle is (2y + 3) and
(2y - 3), respectively and the area of the rectangle is 187.

Answer 1

Answer: Value of y is 7

Given:

Area of rectangle = 187 units

Area of rectangle = Length × Breadth

Length = 2y + 3

Breadth = 2y - 3

Area = (2y + 3) (2y - 3)

187 = (2y)² - (3)²

187 = 4y² - 9

196 = 4y²

49 = y²

7 = y

Thus, the value of y is 7.

____________________________

Answer 2

Answer:y=7

Step-by-step explanation:

Area of rectangle=l×b

l×b=187

(2y+3)(2y-3)=187

4y²-9=187

4y²=196

y²=49

y=±7