Question

4.
Two plots of land have the same perimeter. One is a square with a side
of 60 m, while the other is a rectangle whose breadth is 12 m. Which
plot of land has the greater area and by how much?​

Answer 1

Answer:

Square will have greater area by 2304 m²

Step-by-step explanation:

If Perimeter of square and Rectangle are same then.

$2(l + b) = 4 \times s$

$2(l + 12) = 4 \times 60$

$2l + 24 = 240$

$2l = 240 - 24$

$l = \frac{216}{2}$

$l = 108$

Area of Rectangle

$108 \times 12 = 1296$

Area of Square

${60}^{2} = 3600 \: {m}^{2}$

Difference

$3600 - 1296 = 2304 \: {m}^{2}$

Answer 2

Answer:

Square perimeter =4a=4*60=240 m

Square area =60*60=3600 m2

Rectangle perimeter=2(l+b)

120-15=l

l=105

Area=105*15=1575m

Square has larger area