Arectangle has length 72 cm and width 56 cm. the other rectangle has the same area as this one, but its width is 21 cm. what is the length of the second rectangle?

192 cm

Explanation:

Rectangle 1

A = L * w

   = 72 * 56

   = 4032

Rectangle 2

A = L * w

4032 = L * 21

÷21         ÷21

 192  =  L

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.