9514 1404 393
Answer:
Left: area: 702 square feet; perimeter: 114 feet
Right: area: 20 square inches; perimeter: 24 inches
Step-by-step explanation:
Left Figure
The unmarked horizontal edge of the figure is 30 ft -24 ft = 6 ft long. The area of the figure can be figured as the difference between the 27 ft by 30 ft enclosing rectangle, and the 18 ft by 6 ft "notch" taken from the upper right corner of that.
area = (27 ft)(30 ft) -(18 ft)(6 ft) = 810 ft² -108 ft² = 702 ft²
The perimeter is the sum of the side lengths. The sum of vertical side lengths is 2×27 ft; the sum of horizontal side lengths is 2×30 ft, so the perimeter is ...
54 ft +60 ft = 114 ft . . . perimeter
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Right Figure
The unmarked horizontal segment at the top of the figure is 7 in -3 in -2 in = 2 inches long. This means the area can be divided into two rectangles: the bottom one 2 in by 7 in, and the one sticking up from that 3 in by 2 in. The total area of the figure will be ...
(2 in)(7 in) +(3 in)(2 in) = 14 in² +6 in² = 20 in² . . . area
The perimeter is the sum of the side lengths. The sum of vertical side lengths is 2×(2 in+3 in), and the sum of horizontal side lengths is 2×7 in. Then the perimeter is ...
2×(5 in) +2×(7 in) = 10 in +14 in = 24 in . . . perimeter
