Question

1. a picture frame is 5 cm long and 4 cm wide. how many square centimeters is the area of the frame? 4. a rectangular playground is 12 meters long and 7 meters wide. what is its area in square meters? 5. a classroom has a bulletin board shaped like a rectangle 6 ft by 4 ft. - she wants to cover it with square paper tiles that are 1 ft each. - how many tiles does she need? standards nc.3.md.8 1. ellen is comparing two rectangles. - rectangle p is 5 inches long and 1 inch wide. - rectangle q is 4 inches long and 2 inches wide. which statement correctly compares the areas and perimeters of the rectangles? a. the rectangles have equal areas, and rectangle p has a greater perimeter. b. the rectangles have equal areas, and rectangle q has a greater perimeter. c. the rectangles have equal perimeters, and rectangle p has a greater area. d. the rectangles have equal perimeters, and rectangle q has a greater.

Explanation:

Question 3

Step1: Recall area of rectangle formula

The area of a rectangle is given by \( A = l \times w \), where \( l \) is length and \( w \) is width.

Step2: Substitute values

For the picture frame, \( l = 5 \, \text{cm} \), \( w = 4 \, \text{cm} \). So \( A = 5 \times 4 \).

Step3: Calculate

\( 5 \times 4 = 20 \).

Step1: Use rectangle area formula

Area of rectangle \( A = l \times w \), with \( l = 12 \, \text{m} \), \( w = 7 \, \text{m} \).

Step2: Substitute and compute

\( A = 12 \times 7 = 84 \).

Step1: Find area of bulletin board

Bulletin board is a rectangle with \( l = 6 \, \text{ft} \), \( w = 4 \, \text{ft} \). Area \( A = 6 \times 4 \).

Step2: Find area of one tile

Each tile is a square with side \( 1 \, \text{ft} \), so area is \( 1 \times 1 = 1 \, \text{sq ft} \).

Step3: Divide board area by tile area

Number of tiles \( = \frac{6 \times 4}{1 \times 1} = 24 \).

Answer:

20 square centimeters

Question 4