Question

a pair of adjacent sides of a rectangle are in the ratio of 3 is to 4 if its diagonal is 20 cm find the length of the sides and hence the perimeter of the rectangle

Answer 1

Ratio of adjacent side of rect. I

is 3:4.

Therefore the side are 3x and 4x.

Diagonal of rect. = 20cm.

∆ADC is right angle triangle.

Square of 20 = The square of 3x + 4x.

400= The 9x+16x square.

After all calculation[transposing etc.]

X=4

Hence,

3×4=12

4×4=16

For perimeter 2(12+16)

=56cm