Question

the length of the rectangle exceeds its with by 7m if the with is decreased by 3 m and the length is decreased by 10 the area is decreased by 95 square metre find the dimensions of the rectangle

Answer 1

Let x = the breadth of the rectangle
x+ 7 = the length of the rectangle 
(x+7-4)(x+3) = x(x+7)
x^2+6x+9 = x^2+7x
9=7x-6x
x = 9
x+7 = 16 
The length of the rectangle is 16 cm.
The breadth of the rectangle is 9 cm.

Answer 2

ʟᴇᴛ x = ᴛʜᴇ ʙʀᴇᴀᴅᴛʜ ᴏғ ᴛʜᴇ ʀᴇᴄᴛᴀɴɢʟᴇ
x+ 7 = ᴛʜᴇ ʟᴇɴɢᴛʜ ᴏғ ᴛʜᴇ ʀᴇᴄᴛᴀɴɢʟᴇ 
(x+7-4)(x+3) = x(x+7)
x^2+6x+9 = x^2+7x
9=7x-6x
x = 9
x+7 = 16 
ᴛʜᴇ ʟᴇɴɢᴛʜ ᴏғ ᴛʜᴇ ʀᴇᴄᴛᴀɴɢʟᴇ ɪs 16 ᴄᴍ.
ᴛʜᴇ ʙʀᴇᴀᴅᴛʜ ᴏғ ᴛʜᴇ ʀᴇᴄᴛᴀɴɢʟᴇ ɪs 9 ᴄᴍ.