Acarpenter built three bookcases, a, b and c, to stand next to each other along a wall. the total length of the wall is 456 centimeters. the carpenter will build two more bookcases, d and e, along the same wall. these two book cases will have equal widths. the widths of bookcases a, b and c are a 132 cm, b 94 cm, c 108 cm. what is the width of d and e?

The width of bookcase D is 61 cm

The width of bookcase E is 61 cm

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Sum the widths of the three bookcases A, B and C

step 2

Subtract the sum of the three bookcases A,B and C from the total length of the wall

step 3

Divide that answer in step 2 by 2, and that will let you know the widths of D and E, because they may have equal widths

therefore

The width of bookcase D is 61 cm

The width of bookcase E is 61 cm

the balance is found at the link

step-by-step explanation: