Area and perimeter formulas Knowledge-Based Practice

Questions

1. 1.

   An isosceles trapezoid has parallel bases measuring 10 cm and 22 cm, and non-parallel sides measuring 10 cm each. What is the area of this trapezoid?

   • A) 96 cm²
   • B) 112 cm²
   • C) 128 cm²
   • D) 160 cm²
2. 2.

   A parallelogram has a perimeter of 50 cm, and one of its sides measures 15 cm. If the altitude corresponding to this 15 cm side is 8 cm, what is the length of the altitude corresponding to the other side?

   • A) 10 cm
   • B) 12 cm
   • C) 16 cm
   • D) 15 cm
3. 3.

   A wire shaped as a rectangle with a length of 15 cm and a width of 9 cm is reshaped into a square. By how many square centimeters does the area of the square exceed the area of the rectangle?

   • A) 3 cm$^2$
   • B) 6 cm$^2$
   • C) 9 cm$^2$
   • D) 12 cm$^2$
4. 4.

   A right triangle has legs with lengths of 6 cm and 8 cm. If a square has the same perimeter as this right triangle, what is the area of the square?

   • A) 24 cm²
   • B) 30 cm²
   • C) 36 cm²
   • D) 48 cm²
5. 5.

   A rectangle has a perimeter of 48 cm, and its length is three times its width. What is the area of the rectangle?

   • A) $72\text{ cm}^2$
   • B) $96\text{ cm}^2$
   • C) $108\text{ cm}^2$
   • D) $144\text{ cm}^2$

Answers and step-by-step solutions appear after you finish the test.