Question

I need help asap thx:):)

Answer 1

Answer:

l : b = 6 : 5

Step-by-step explanation:

let's assume lenght of each congruent rectangle be x

now,

Lenght of the larger rectangle =

=》3 × lenght of smaller rectangle = 3x

but it is also equal to

=》4 × width of each smaller rectangles ( b )

so, we get :-

=》4 × b = 3x

=》b = 3x / 4

so, we get width of smaller rectangle =

$\frac{3x}{4}$

now, width of larger rectangle =

=》lenght of smaller rectangle + (2 × width of smaller rectangle)

=》

$x + 2b$

=》

$x + (2 \times \frac{3x}{4} )$

=》

$x + \frac{3x}{2}$

=》

$\frac{5x}{2}$

now, length of larger rectangle = 3x

width of larger rectangle = 5x/2

so l : w :-

=》

$\frac{3x}{ \frac{5x}{2} }$

=》

$\frac{3 \times 2}{5}$

=》

$\frac{6}{5}$

so, required ratio of l : b = 6 : 5