Question

b) The perimeters of a square field and a rectangular field are the same. If one side
the rectangular field is 18 m and one side of the square field is 15 m, find
(i) the area of the rectangular field and
(ii) the total area of both the fields.​

Answer 1

Answer:

1. perimeter of square=4*15

=60m

perimeter of rectangle =2(l+b)

60=2(18+b)

60/2=18+b

b=30-18

b=12m

area of rectangular field =l*b

=18*12

=216msquare

area of square=15*15

225msquare

total area =216+225

=441msquare

Answer 2

Answer:

$\huge\rm\purple{QuestioN}$

b) The perimeters of a square field and a rectangular field are the same. If one side

the rectangular field is 18 m and one side of the square field is 15 m, find

(i) the area of the rectangular field and

(ii) the total area of both the fields.

$\huge\rm\purple{AnsweR}$

$\rm\blue{given}$

• Perimeter of square field = Perimeter of rectangular field .

• One side of rectangular field = 18 m

• One side of square field = 15 m

$\rm\blue{to\:find}$

• Area of rectangular field .

• Total area of both fields .

To find the area of rectangular field we first need to find the other side of the field .

We can find the other side of the field by Using the formulas : perimeter of square , perimeter of rectangle .

$\rm\red{Perimeter\:of\square\:field= 4×side}$

➡️ 4×15 m

➡️ 60 m

$\rm\red{Perimeter\:of\rectangular\:field= 2×(l+b)}$

As perimeter of rectangular field is equal to perimeter of square field .

➡️ 60 = 2×(18+x)

➡️ 60 = 36 + 2x

➡️ 60-36 = 2x

➡️ 24 = 2x

➡️ x = 24/2

➡️ x = 12 m

Therefore other side of the rectangular field is 12 m.

$\rm\green{Area\:of\square\:field= side²}$

➡️ 15²

➡️ 225m²

$\rm\green{Area\:of\:rectangular\:field= length × breadth}$

➡️ 18 × 12

➡️ 216 m²

Area of both = 225 + 216

➡️ 441 m²