Find the area of a square whose perimeter is 32cm.

Here are the solutions to the questions: 1. Find the area of a square whose perimeter is 32cm. Step 1: Find the side length of the square. The perimeter of a square is given by P = 4s, where s is the side length. 32 cm = 4s s = (32)/(4) cm s = 8 cm Step 2: Calculate the area of the square. The area of a square is given by A = s^2. A = (8 cm)^2 A = 64 cm^2 The correct option is C. C. 64 cm^2 2. If 39 + 4 × B = 55. What is B? Step 1: Subtract 39 from both sides of the equation. 39 + 4B = 55 4B = 55 - 39 4B = 16 Step 2: Divide by 4 to find B. B = (16)/(4) B = 4 The correct option is C. C. 4 3. Convert 0.375 into fraction. Step 1: Write the decimal as a fraction over a power of 10. 0.375 = (375)/(1000) Step 2: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor. Divide by 25: (375 ÷ 25)/(1000 ÷ 25) = (15)/(40) Divide by 5: (15 ÷ 5)/(40 ÷ 5) = (3)/(8) The correct option is D. D. (3)/(8) 4. Find the value of 7^3. Step 1: Calculate 7^3. 7^3 = 7 × 7 × 7 7^3 = 49 × 7 7^3 = 343 The correct option is D. D. 343 5. Simplify: (36 - 12) ÷ (6 - 3) Step 1: Perform the operations inside the parentheses. (36 - 12) = 24 (6 - 3) = 3 Step 2: Perform the division. 24 ÷ 3 = 8 The correct option is D. D. 8 6. Express 615 in Roman Numerals. Step 1: Break down the number into Roman numeral components. 600 is DC (D = 500, C = 100, so DC = 500 + 100 = 600) 10 is X 5 is V Step 2: Combine the components. 615 = 600 + 10 + 5 = DCXV The correct option is C. C. DCXV 7. Write in words: 605005. Step 1: Identify the place values of the digits. 6 is in the hundred thousands place. 0 is in the ten thousands place. 5 is in the thousands place. 0 is in the hundreds place. 0 is in the tens place. 5 is in the ones place. Step 2: Write the number in words based on its place values. The number is "Six hundred five thousand and five". The correct option is D. D. Six hundred five thousand and five 8. Mr. Ugochukwu earns N10,000.00 a month and saves N2000. What percentage of his salary does he save? Step 1: Identify the amount saved and the total salary. Amount saved = N2000 Total salary = N10,000 Step 2: Calculate the percentage saved. Percentage saved = (Amount savedTotal salary) × 100\% Percentage saved = ((2000)/(10000)) × 100\% Percentage saved = (1)/(5) × 100\% Percentage saved = 20\% The correct option is B. B. 20\% 9. 7 erasers cost N98.00, find the cost of 10 erasers. Step 1: Find the cost of one eraser. Cost of 1 eraser = Total costNumber of erasers Cost of 1 eraser = N98.007 Cost of 1 eraser = N14.00 Step 2: Calculate the cost of 10 erasers. Cost of 10 erasers = 10 × N14.00 Cost of 10 erasers = N140.00 The correct option is C. C. N140.00 10. Express 32:12 as a ratio in its simplest form. Step 1: Write the ratio. 32:12 Step 2: Find the greatest common divisor (GCD) of 32 and 12. The factors of 32 are 1, 2, 4, 8, 16, 32. The factors of 12 are 1, 2, 3, 4, 6, 12. The GCD is 4. Step 3: Divide both parts of the ratio by the GCD. (32)/(4) : (12)/(4) 8:3 The correct option is B. B. 8:3 11. A girl walked 7km in 2hrs and 5km in 1hr. What was her average speed? Step 1: Calculate the total distance walked. Total distance = 7 km + 5 km = 12 km Step 2: Calculate the total time taken. Total time = 2 hrs + 1 hr = 3 hrs Step 3: Calculate the average speed. Average speed = Total distanceTotal time Average speed = 12 km3 hrs Average speed = 4 km/hr The correct option is C. C. 4 km/hr 12. Write in figure: Fifty thousand and seventy nine. Step 1: Break down the number into its components. Fifty thousand = 50,000 Seventy nine = 79 Step 2: Add the components. 50,000 + 79 = 50079 The correct option is C. C. 50079 13. Calculate the average of the following set of numbers: 5, 16, 18, 15 and 11. Step 1: Sum the numbers in the set. Sum = 5 + 16 + 18 + 15 + 11 Sum = 65 Step 2: Count the number of values in the set. There are 5 numbers. Step 3: Calculate the average. Average = Sum of numbersCount of numbers Average = (65)/(5) Average = 13 The correct option is A. A. 13 14. What fraction of 2 minutes is 6 seconds? Step 1: Convert 2 minutes to seconds. 2 minutes = 2 × 60 seconds = 120 seconds Step 2: Form the fraction. Fraction = 6 seconds120 seconds Step 3: Simplify the fraction. Fraction = (6)/(120) Fraction = (1)/(20) (1)/(20) 15. A book costing N150 was sold for N180.00. Find the percentage profit. Step 1: Calculate the profit. Profit = Selling Price - Cost Price Profit = N180 - N150 Profit = N30 Step 2: Calculate the percentage profit. Percentage Profit = (ProfitCost Price) × 100\% Percentage Profit = ((30)/(150)) × 100\% Percentage Profit = (1)/(5) × 100\% Percentage Profit = 20\% The correct option is A. A. 20\% 16. Ade picked 1590 shells, Yemi picked 495 more than Ade. How many shells did Yemi pick? Step 1: Add the extra shells Yemi picked to Ade's total. Yemi's shells = Ade's shells + 495 Yemi's shells = 1590 + 495 Yemi's shells = 2085 The correct option is B. B. 2085 17. Divide 1.25 by 0.25. Step 1: Write the division as a fraction. (1.25)/(0.25) Step 2: Multiply the numerator and denominator by 100 to remove the decimals. (1.25 × 100)/(0.25 × 100) = (125)/(25) Step 3: Perform the division. (125)/(25) = 5 The correct option is C. C. 5 18. The weekly allowance of a labourer is N1,425.00. If the paymaster paid out N12,825.00 at the end of the week. How many labourers did he pay? Step 1: Divide the total amount paid by the allowance per labourer. Number of labourers = Total amount paidAllowance per labourer Number of labourers = N12825.00N1425.00 Step 2: Perform the division. Number of labourers = 9 The correct option is A. A. 9 Send me the next one 📸