Rectangle has an area of 24 square units and a side length of 2 3/4 units. Find the other side length of the rectangle. Show your reasonings. Is the answer 8 8/11 units?

Yes, the answer is 8 8/11 units

Step-by-step explanation:

The formula for determining that area of a rectangle is expressed as

Area = length × width

The length of on side of the rectangle is 2 3/4 units. Converting 2 3/4 units to improper fraction, it becomes 11/4 units.

The rectangle has an area of 24 square units. Therefore, the other side length of the rectangle would be

24/(11/4) = 24 × 4/11 = 96/11 units.

Converting to mixed fraction, it becomes

8 8/11 units

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

step-by-step explanation: