Sarah and Tom each have 32 feet of wood for framing their rectangular murals. Sarah makes her frame 8 feet high. Tom makes his frame 9 feet high. Whose mural has the greater​ area? How much​ greater?

Question

SarahSarah

and

TomTom

each have

32

feet of wood for framing their rectangular murals.

Sarah

makes her frame

8

feet high.

Tom

makes his frame

9

feet high. Whose mural has the greater​ area? How much​greater?

Answer 1

^Sarah

^{perimeter = 2L + 2W}

^{P= 2(8) + 2(8) =}

^{P = 16 + 16 = 32 ft}

^{Area = L X W}

^{A= 8 x 8 = 64 sq ft}

^Tom

^{P = 2(9) + 2(7)=}

^{P= 18 + 14 = 32 ft}

^{Area = L X W}

^{A= 7 X 9 = 63 sq ft}

^{Sarah's mural has the greater area.}

^{64 sq ft > 63 sq ft}

^{64 sq ft - 63 sq ft = 1 sq ft}

^{Sarah's mural is 1 sq ft greater than Tom's mural.}