Question

Jared has a wooden board that is 11 ft long. He wants to cut it into two pieces so that the longer piece is 4 ft less than 4 times the length of the shorter piece.
How long will each piece of board be?

Shorter piece:____ ft
Longer piece:____ ft

Answer 1

Answer

Find out the length of the shorter and longer pieces of a board .

To prove

Let us assume that the length of the shorter pieces be x.

As given

Jared has a wooden board that is 11 ft long.

He wants to cut it into two pieces so that the longer piece is 4 ft less than 4 times the length of the shorter piece.

Than the length of the longer pieces = 4x - 4

Than the equation becomes

x + 4x - 4 = 11

5x = 11 + 4

5x = 15

$x = \frac{15}{5}$

x = 3 ft

Therefore the length of the shorter pieces be 3 ft .

The length of the longer pieces  = 4x - 4

                                                      = 4 × 3 - 4

                                                      = 12 - 4

                                                      = 8 ft

Therefore the length of the longer pieces be 8 ft .