Question

The perimeter of a square is 56m. The area of a rectangle is 8 sq.m. less than the area of the given square. lf the length of the rectangle is 16m, find its breadth​

Answer 1

Given⏩

⏺️Perimeter of square = 56 cm

$= > 4 \times side = 56m \\ = > side = \frac{56}{4} = 14m$

⏺️Area of this square =

${(side)}^{2} = {(14)}^{2} = 196 {m}^{2}$

Now ,

According to the question,

Area of thr rectangle = 196m² - 8m²

$= > l \: \times \: b = 188 {m}^{2} \\ b = \frac{188}{l} m$

We have ,

length of rectangle = 16m

So,

$breadth \: = \frac{188}{16} m = 11.75m$