Question

Divide a line segment $8.8cm$ long internally in the ratio $4:7$ and measure the two parts.

• A. 3.2cm and 5.6cm
• B. 3.0cm and 5.8cm
• C. 2.2cm and 6.6cm
• D. 4.2cm and 4.6cm

Answer 1

The correct option is A 3.2cm and 5.6cm

The ratio is $4:7$. Let the length be $4xand7x,$
$4x+7x=8.8$
$11x=8.8$
$x=0.8$
Length of individual parts are $4x=4\times 0.8=3.2cmand7x=7\times 0.8=5.6cm$