Draw a rectangle of perimeter 17 cm and sides in the ratio of 5 : 3. Find the measure of the smallest side.
3.2

Open in App

Solution

The correct option is A 3.2

Step 1: Draw a line segment AB of length 8.5 cm.
[ perimeter = 17 cm ; l + b = 8.5 cm ]

Step 2: Draw a slant line segment AC of 8 cm(as ratio is 3:5, 3 + 5 =8) and divide it into 5 cm(AD) and 3 cm(DC) parts.

Step 3: Join CB and draw a line parallel to CB from D such that it cuts AB at E.
Step 4: Draw perpendiculars from A and E. With E as centre and radius EB, draw an arc such that it cuts perpendicular from E at F. With the same radius and A as centre, cut the perpendicular from A at G.

By measuring the sides, we get AG = EF = 3.18 ≈ 3.2 cm .

Suggest Corrections

Similar questions

The sides of a rectangle are in the ratio 2 : 3 and its perimeter is 20 cm. Draw the rectangle.

4 : 5

90

The sides of a rectangle are in the ratio 4:5 find its sides if the perimeter is 90 cm.

The sides of the rectangle are in the ratio 2:1. The perimeter is 30 cm. calculate the measure of all the sides.

Join BYJU'S Learning Program