Question

(q)the area of a rectangle is 4 times the area of a square. the length of the rectangle is 90 cm and the breadth of the rectangle is 2/3 of the side of the square. what is the side of the square ?

Answer 1

let 'a ' be the side of the square.

length of the rectangle = 90 cm

beadth of rectangle = ( 2/ 3 ) × a

Find the area of rectangle :
---------------------------------------


area of rectangle = length × breadth

= 90 × ( 2/ 3 ) × a = 60a cm^2

area of square = a × a = a^2

Solve for side of square (a) :
---------------------------------------




according to the given statement :

area of rectangle is 4 times the area of square

60a = 4 × a^2

4a = 60 => a = 15 cm

Answer : side of the square = 15 cm

----------------------------–--------------------------

Answer 2

$<i>0PTIMUS PRIME</i>$

$<u>OPTIMUS PRIME</u>$

HI,here ur answer

AREA or RECTANGLE is =4X^2

let area of SQUARE is =X^2

LET ONe Side of SQUARE be X

So, BREATH Of RECTANGLE is 2/3×X

=2X/3

GIVEN LENGTH of RECTANGLE is 90

AREA of RECTANGLE is LENTG4 ×BREATH

SO,According to questions

90×2x/3=4x^2
30×2x=4x^2

60x=4x^2

60=4x^2/x
60=4×x×x/x
60=4x
x=15
So, the SIDE Of SQUARE is 15Cm

Mark As BRAILIEST ANSWER.