Question

Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is
36 m. Find the dimensions of the garden.
anban
ile​

Answer 1

Answer:

PLEASE CHECK THE ANSWER WITH YOUR TEXT BOOK ANSWER

Step-by-step explanation:

Perimeter of rectangle =1/2=0.5

length of rectangle =4+x

width of rectangle =36

dimensions of the rectangle =?

Perimeter of rectangle formulae =2 (l×b)

1/2=2 ((4+x)×36)

1/2=2 (144+36x)

1/2=288+72x

72x+288=1/2

72×=1/2-288

72x= -287.5

x= -287.5/72

x= -3.9930555556.............

Answer 2

Answer:

It is given that, half of the Perimeter of reactangular garden is 36 :]

So,

➦ 2(l + b)/2 = 36

➦ l + b = 36.......[Equation (i)]

Now,

Let width be x

and length be x + 4

Putting this values in equation (i) we get,

➝ l + b = 36

➝ x + x + 4 = 36

➝ 2x + 4 = 36

➝ 2x = 36 - 4

➝ 2x = 32

➝ x = 32/2

➝ x = 16 m

Therefore,

Width of reactangular garden = x = 16 m

Length of the reactangular garden = x + 4 = 16 + 4 = 20 m