Question

A rectangular yard measuring 35 ft by 49 ft is bordered and surrounded) by a fence. Inside, a walk that is 4 ft wide goes all the way along the fence. Find the

area of this walk. Be sure to include the correct unit in your answer.

Answer 1

(ANSWER)

AREA OF WALK = 444 SQUARE FEE

(EXPLANATION)

FIRST, CALCULATE THE AREA OF THE RECTANGULAR YARD.

♥ A = L × W where A equals area, L equals length, and W equals width.

ACCORDING TO YOUR STATED PROBLEM:

♥ A = 1519 square feet. <––– Area of Rectangular yard.

♥ NOW, ACCORDING TO YOUR STATED PROBLEM THERE IS A WALK THAT IS 3 FEET WIDE GOING ALL THE WAY ALONG THE FENCE (INSIDE).

♥ THEREFORE, YOU HAVE SIX FEET TO SUBTRACT FROM EACH OF THE VALUES ABOVE (31) AND (49).

WHY?

THREE FEET ON EACH SIDE, CORRECT?

A = L × W

A = 25 × 43

A = 1075 square feet <––––Area of new rectangle formed by allowing for three foot walk.

♥ NOW, SUBTRACT THE AREA OF THE NEW RECTANGLE FORMED FROM THE AREA OF THE ORIGINAL AREA. DOING SO, WILL GIVE YOU THE AREA OF THE WALK, CORRECT?

♥ ORIGINAL AREA = 1519 square feet

♥ NEW AREA = 1075 square feet

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