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MATH / A stairway with three steps has three risers that are each 8 inches high and…

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problem

A stairway with three steps has three risers that are each 8 inches high and three treads that are each 10 inches deep. What is the area, in square inches, of this figure that is the side panel of the stairway? [asy]size(101); real textsize = 10pt; draw((0,0)--(30,0)--(30,8)--(20,8)--(20,16)--(10,16)--(10,24)--(0,24)--cycle); draw((31,0)--(33,0)^^(32,0)--(32,8)^^(31,8)--(33,8)); label("$8''$ riser",(33,4),E,fontsize(textsize)); draw((10,25)--(10,27)^^(10,26)--(20,26)^^(20,25)--(20,27)); label("$10''$",(15,27),N,fontsize(textsize)); label("tread",(15,32),N,fontsize(textsize));[/asy]
Plain-text mathematical notation (without MathML)
A stairway with three steps has three risers that are each 8 inches high and three treads that are each 10 inches deep. What is the area, in square inches, of this figure that is the side panel of the stairway?

[asy]size(101);
real textsize = 10pt;
draw((0,0)--(30,0)--(30,8)--(20,8)--(20,16)--(10,16)--(10,24)--(0,24)--cycle);
draw((31,0)--(33,0)^^(32,0)--(32,8)^^(31,8)--(33,8));
label("$8''$ riser",(33,4),E,fontsize(textsize));
draw((10,25)--(10,27)^^(10,26)--(20,26)^^(20,25)--(20,27));
label("$10''$",(15,27),N,fontsize(textsize));
label("tread",(15,32),N,fontsize(textsize));[/asy]
Original LaTeX notation
A stairway with three steps has three risers that are each 8 inches high and three treads that are each 10 inches deep. What is the area, in square inches, of this figure that is the side panel of the stairway?

[asy]size(101);
real textsize = 10pt;
draw((0,0)--(30,0)--(30,8)--(20,8)--(20,16)--(10,16)--(10,24)--(0,24)--cycle);
draw((31,0)--(33,0)^^(32,0)--(32,8)^^(31,8)--(33,8));
label("$8''$ riser",(33,4),E,fontsize(textsize));
draw((10,25)--(10,27)^^(10,26)--(20,26)^^(20,25)--(20,27));
label("$10''$",(15,27),N,fontsize(textsize));
label("tread",(15,32),N,fontsize(textsize));[/asy]

level

Level 3

type

Prealgebra

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Source and history

task_id
bcd0fcd0-8c2e-54e6-9fa6-019c04733b98
task_key
prealgebra--test--bcd0fcd0-8c2e-54e6-9fa6-019c04733b98
task_revision_id
1
config / split
prealgebra / test

Official source

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