Question

3. The perimeter of a rectangle is equal to that of a square
with side 16 m. If the rectangle is 12 m wide, what is
its length?​

Answer 1

Length = 20 m

Answer:

●Perimeter of rectangle = 2(l+b)

●Perimeter of square = 4×side

___________________________

➡Perimeter of rectangle = Perimeter of square

= 4×side

= 4x16 m

= 64 m

therefore, perimeter of rect. = 64 m

___________________________

Now,

2(l+b) = 64 m

2(l+12)= 64 m

2l+24 = 64 m

2l = 64 -24 m

2l = 40

l = $\frac{40}{2} = 20m$

Answer 2

Answer:

20m

Step-by-step explanation:

Given the measurements of the sides of a square is 16m

therefore, the perimeter = (4 × 16)m

= 64m

therefore, the perimeter of the rectangle is 64m. [as, given in the question]

Given the wide if the rectangle = 12m

Let's take the length of the rectangle be x

therefore, we know that,

perimeter of a rectangle = 2(length + wide)

=> 64 = 2(x + 12)

=> 64 = 2x + 24

=> 2x = 40

=> x = 20.

therefore, the length is 20m.