Question

the length of rectangle 3times it with it I perimeter 96. find it area​

Answer 1

Step-by-step explanation:

Let the width of the rectangle be x cm

Therefore,

length = 3x cm

Now

Perimeter of rectangle = 96 cm

Therefore,

$2(l + b) = 96 \\ 2(3x + x) = 96 \\ 2 \times 4x = 96 \\ 8x = 96 \\ x = \frac{96}{8} \\ x = 12 \: cm \\ \implies \: 3x = 3 \times 12 = 36 \: cm \\ \therefore \: length \: of \: rectangle \: = 36 \: cm \\ width \: of \: rectangle \: = 12 \: cm \\ area \: of \: rectangle \: = l \times b \\ = 36 \times 12 \\ = 432 \: {cm}^{2}$