Question

the length and breath of a rectangular field are in the ratio 5:3. If it's perimeter is 128m, find the dimensions of the field.

Answer 1

128/(5+3)=16
16*3=48
16*5=80
Dimensions_48 and 80

Answer 2

$\bf{\Huge{\underline{\boxed{\bf{\green{ANSWER\::}}}}}}$

$\bold{\Large{\underline{\sf{\pink{Given\::}}}}}$

The length and the breadth of a rectangle field are in the ratio 5:3, if its perimeter is 128m.

$\bold{\Large{\underline{\sf{\red{To\:find\::}}}}}$

The dimensions of the field.

$\bold{\Large{\underline{\sf{\blue{Explanation\::}}}}}$

Let the ratio be R.

$\bold{We\:have}\begin{cases}\sf{The\:length\:of\:rectangular\:field=5R}\\ \sf{The\:breadth\:of\:rectangular\:field=3R}\\ \sf{Their\:perimeter=128m}\end{cases}$

We know that perimeter of rectangle: 2(length + breadth)

→ 2(5R + 3R) = 128

→ 2(8R) = 128

→ 16R = 128

→ R = $\bold{\cancel{\frac{128}{16} }}$

→ R = 8m.

Now,

• The dimensions of the field:

The length of rectangular field = 5(8)m = 40m.

The breadth of rectangular field = 3(8)m = 24m.