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MATH / The figure below is composed of the rectangles A, B, C, and D with whole number values for length and width. The areas of regions A, B, and C in square meters, are shown in the dia…

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problem

The figure below is composed of the rectangles AA, BB, CC, and DD with whole number values for length and width. The areas of regions AA, BB, and CC in square meters, are shown in the diagram. What is the area in square meters of rectangle DD? [asy] draw((0,0)--(0,11)--(13,11)--(13,0)--cycle); draw((0,6)--(13,6)); draw((8,11)--(8,0)); label("AA",(0,11),SE); label("BB",(8,11),SE); label("CC",(8,6),SE); label("DD",(0,6),SE); label("40",(6,9)); label("25",(11,9)); label("30",(11,2)); label("?", (6,2)); [/asy]
Plain-text mathematical notation (without MathML)
The figure below is composed of the rectangles A, B, C, and D with whole number values for length and width. The areas of regions A, B, and C in square meters, are shown in the diagram. What is the area in square meters of rectangle D? [asy]
draw((0,0)--(0,11)--(13,11)--(13,0)--cycle);
draw((0,6)--(13,6)); draw((8,11)--(8,0));
label("A",(0,11),SE); label("B",(8,11),SE); label("C",(8,6),SE); label("D",(0,6),SE);
label("40",(6,9)); label("25",(11,9)); label("30",(11,2)); label("?", (6,2));
[/asy]
Original LaTeX notation
The figure below is composed of the rectangles $A$, $B$, $C$, and $D$ with whole number values for length and width. The areas of regions $A$, $B$, and $C$ in square meters, are shown in the diagram. What is the area in square meters of rectangle $D$? [asy]
draw((0,0)--(0,11)--(13,11)--(13,0)--cycle);
draw((0,6)--(13,6)); draw((8,11)--(8,0));
label("$A$",(0,11),SE); label("$B$",(8,11),SE); label("$C$",(8,6),SE); label("$D$",(0,6),SE);
label("40",(6,9)); label("25",(11,9)); label("30",(11,2)); label("?", (6,2));
[/asy]

level

Level 3

type

Prealgebra

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Source and history

task_id
760ab923-d44a-5fa9-ad67-0ebc95cf5815
task_key
prealgebra--test--760ab923-d44a-5fa9-ad67-0ebc95cf5815
task_revision_id
1
config / split
prealgebra / test

Official source

initial import