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How big is 15 square feet?

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It's about one-and-three-tenths times as big as a Bath Towel.
In other words, 15 square feet is 1.28580 times the size of a Bath Towel, and the size of a Bath Towel is 0.777730 times that amount.
(for Fieldcrest Luxury Solid Towels)
Bath towels typically measure 142.24 cm (56 in) by 76.2 cm (30 in), for a total area of about 11.6660 square feet. The city of Bursa, Turkey is known as the birthplace of the modern towel.
It's about one-third as big as a King Size Bed.
In other words, 15 square feet is 0.3460 times the size of a King Size Bed, and the size of a King Size Bed is 2.890 times that amount.
(North American/Australian standard; length; mattress only)
A King-Size mattress measures 43.40 square feet in total area. Although most antique beds were smaller than modern beds, it was not uncommon for beds in the medieval Europe to reach 53.80 square feet for those in positions of wealth or power.
It's about one-tenth as big as a Parking Space.
In other words, 15 square feet is 0.0929 times the size of a Parking Space, and the size of a Parking Space is 10.80 times that amount.
(a.k.a Parking Stall) (average; surface lot; North America)
An average-size parking space in a North American surface lot measures 161 square feet. Due to the high real estate prices at the time, parking spaces in a densely-populated part of Manhattan would sell for an average of $165,000 in 2007, with some spaces fetching up to $225,000.
It's about fourteen times as big as an Airplane Tray Table.
In other words, 15 square feet is 13.80 times the size of an Airplane Tray Table, and the size of an Airplane Tray Table is 0.0725 times that amount.
(average)
With wide variation among different models of airplanes, in-flight tray tables measure around 41.2 cm (16.5 in) x 24.1 cm (9.5 in) for a total area of 1.09 square feet. Flight safety rules require that the tray tables be upright and locked during takeoff and landing so as to reduce the risk of passenger abdominal injury.
It's about thirty times as big as an Apple iPad.
In other words, 15 square feet is 34.820 times the size of an Apple iPad, and the size of an Apple iPad is 0.02872 times that amount.
(for 9.7 inch, Apple iPad Air MD785LL/B)
An Apple iPad measures 23 cm (9.4 in) x 17 cm (6.6 in) for a total device area of 0.43080 square feet. The base model iPad Air features 16 GB of storage capacity.
It's about one-two-hundredth as big as a Tennis court.
In other words, 15 square feet is 0.0053418803 times the size of a Tennis court, and the size of a Tennis court is 187.20 times that amount.
(per ITF specification; for doubles)
Per International Tennis Federation Rules of Tennis 2009, a doubles tennis court should measure 23.7744 m long by 10.9728 m, for a total area of about 2,806.79730 square feet. Courts may be surfaced with crushed red stone, shale, brick, hard-soil grass, or asphalt.
It's about 250 times as big as a Playing Card.
In other words, the size of a Playing Card is 0.004 times 15 square feet.
(ISO 216 B8 size)
A single ISO 216 B8-size playing card measures 0.06 square feet. Although this size is the most common playing card, many casinos use the smaller "bridge size" card — 0.028 square feet smaller.