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CBSE Class 10 Answered

your study room is shaped like a rectangle it has a area of 28 square cm and diameter 22 cm can you tell its dimensional
Asked by yogitamanojkumar | 09 Jan, 2023, 04:01: PM
answered-by-expert Expert Answer
The question must be:
Your study room is shaped like a rectangle it has a area of 28 square cm and perimeter 22 cm can you tell its dimensional
 
The room is rectangular in shape with area 28 square cm
 
Area of rectangle = 28 cm2
Perimeter of a room = 22 cm
Let space apostrophe straight l apostrophe space and space apostrophe straight b apostrophe space be space the space length space and space breadth space of space straight a space rectangle
rightwards double arrow 2 left parenthesis straight l plus straight b right parenthesis equals 22
rightwards double arrow straight l plus straight b equals 11
Also comma space Area space of space rectangle space equals space straight l cross times straight b
rightwards double arrow space 28 space equals space straight l cross times straight b
rightwards double arrow space 28 equals straight l left parenthesis 11 minus straight l right parenthesis
rightwards double arrow straight l squared minus 11 straight l plus 28 equals 0
rightwards double arrow straight l squared minus 7 straight l minus 4 straight l plus 28 equals 0
rightwards double arrow straight l left parenthesis straight l minus 7 right parenthesis minus 4 left parenthesis straight l minus 7 right parenthesis equals 0
rightwards double arrow left parenthesis straight l minus 7 right parenthesis left parenthesis straight l minus 4 right parenthesis equals 0
rightwards double arrow straight l equals 7 space or space straight l equals 4
When space straight l equals 7 space rightwards double arrow space straight b equals 4
When space straight l equals 4 space rightwards double arrow space straight b equals 7
So comma space the space dimension space of space the space rectangle space is space 7 cm space cross times space 4 cm.
Answered by Renu Varma | 10 Jan, 2023, 10:58: AM
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