Question

Find the lenth and breath of rectangular plot whose area is 60 sq cms and perimeter is 32 cm? ​

Answer 1

Area of rectangle, l × b = 60cm²

. b = (60cm²)/l

Perimeter of rectangle, 2(l + b) = 32cm

. l + b = 16cm

. l + 60/l = 16

. l² + 60 = 16l

. l² - 16l + 60 = 0

. l² - 10l - 6l + 60 = 0

. l(l - 10) - 6(l - 10) = 0

. (l - 10) (l - 6) = 0

∴The length(l) could be either 10cm or 6cm.

. b = (60cm²)/(10cm or 6cm)

. b = 6cm or 10cm

For l = 10cm, b = 6cm and for l = 6cm, b = 10cm