Question

A carpenter 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?

Answer 1

Answer:

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

$132+94+108=334\ cm$

step 2

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

$456-334=122\ cm$

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

$122/2=61\ cm$

therefore

The width of bookcase D is 61 cm

The width of bookcase E is 61 cm