What is the surface area of the figure? 291 ft² 399 ft² 582 ft² 900 ft² irregular backwards l-shaped prism. the dimensions are 15 ft long in the front. then on the left side goes up 9 ft. then in to the right 9 ft. from the 15 ft in the front it goes back 4 ft. then up 15

Surface area of the figure is 582 square feet.

Step-by-step explanation:

The given figure is of an irregular backwards L-shaped prism which can be divided in two parts to measure the surface are of cumulative figure as shown. First figure is a horizontal larger prism then a smaller prism put on the larger one.

1) First figure is the larger prism with dimensions length× width×height = 15×4×9

Therefore the surface area of the larger prism will be = 2(15×9 + 4×9 + 15×4) - (4×6) = 2(135+36+60) - 24 = 2×231 - 24 = 462 - 24 = 438 ft²

2) Surface area of the smaller prism = 2(6×6 + 4×6 + 4×6) - 6×4 = 2(36+24+24) - 24 = 168 -24 = 144 ft²

Now total surface area will be = 438 + 144 = 582 ft²

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